{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "IPython.OutputArea.prototype._should_scroll = function(lines) { return false; }"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%javascript\n",
    "IPython.OutputArea.prototype._should_scroll = function(lines) { return false; }"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris, load_breast_cancer\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.neighbors import KNeighborsClassifier, KNeighborsRegressor\n",
    "from sklearn.linear_model import LinearRegression, Ridge, Lasso, LogisticRegression\n",
    "from sklearn.svm import LinearSVC\n",
    "\n",
    "import pandas as pd\n",
    "from pandas.plotting import scatter_matrix\n",
    "\n",
    "import mglearn as mg\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Iris dataset classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iris Plants Database\n",
      "====================\n",
      "\n",
      "Notes\n",
      "-----\n",
      "Data Set Characteristics:\n",
      "    :Number of Instances: 150 (50 in each of three classes)\n",
      "    :Number of Attributes: 4 numeric, predictive attributes and the class\n",
      "    :Attribute Information:\n",
      "        - sepal length in cm\n",
      "        - sepal width in cm\n",
      "        - petal length in cm\n",
      "        - petal width in cm\n",
      "        - class:\n",
      "                - Iris-Setosa\n",
      "                - Iris-Versicolour\n",
      "                - Iris-Virginica\n",
      "    :Summary Statistics:\n",
      "\n",
      "    ============== ==== ==== ======= ===== ====================\n",
      "                    Min  Max   Mean    SD   Class Correlation\n",
      "    ============== ==== ==== ======= ===== ====================\n",
      "    sepal length:   4.3  7.9   5.84   0.83    0.7826\n",
      "    sepal width:    2.0  4.4   3.05   0.43   -0.4194\n",
      "    petal length:   1.0  6.9   3.76   1.76    0.9490  (high!)\n",
      "    petal width:    0.1  2.5   1.20  0.76     0.9565  (high!)\n",
      "    ============== ==== ==== ======= ===== ====================\n",
      "\n",
      "    :Missing Attribute Values: None\n",
      "    :Class Distribution: 33.3% for each of 3 classes.\n",
      "    :Creator: R.A. Fisher\n",
      "    :Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\n",
      "    :Date: July, 1988\n",
      "\n",
      "This is a copy of UCI ML iris datasets.\n",
      "http://archive.ics.uci.edu/ml/datasets/Iris\n",
      "\n",
      "The famous Iris database, first used by Sir R.A Fisher\n",
      "\n",
      "This is perhaps the best known database to be found in the\n",
      "pattern recognition literature.  Fisher's paper is a classic in the field and\n",
      "is referenced frequently to this day.  (See Duda & Hart, for example.)  The\n",
      "data set contains 3 classes of 50 instances each, where each class refers to a\n",
      "type of iris plant.  One class is linearly separable from the other 2; the\n",
      "latter are NOT linearly separable from each other.\n",
      "\n",
      "References\n",
      "----------\n",
      "   - Fisher,R.A. \"The use of multiple measurements in taxonomic problems\"\n",
      "     Annual Eugenics, 7, Part II, 179-188 (1936); also in \"Contributions to\n",
      "     Mathematical Statistics\" (John Wiley, NY, 1950).\n",
      "   - Duda,R.O., & Hart,P.E. (1973) Pattern Classification and Scene Analysis.\n",
      "     (Q327.D83) John Wiley & Sons.  ISBN 0-471-22361-1.  See page 218.\n",
      "   - Dasarathy, B.V. (1980) \"Nosing Around the Neighborhood: A New System\n",
      "     Structure and Classification Rule for Recognition in Partially Exposed\n",
      "     Environments\".  IEEE Transactions on Pattern Analysis and Machine\n",
      "     Intelligence, Vol. PAMI-2, No. 1, 67-71.\n",
      "   - Gates, G.W. (1972) \"The Reduced Nearest Neighbor Rule\".  IEEE Transactions\n",
      "     on Information Theory, May 1972, 431-433.\n",
      "   - See also: 1988 MLC Proceedings, 54-64.  Cheeseman et al\"s AUTOCLASS II\n",
      "     conceptual clustering system finds 3 classes in the data.\n",
      "   - Many, many more ...\n",
      "\n",
      "Keys of iris_dataset: \n",
      "dict_keys(['DESCR', 'target', 'target_names', 'feature_names', 'data'])\n",
      "\n",
      "Target names: ['setosa' 'versicolor' 'virginica']\n",
      "\n",
      "Feature names: \n",
      "['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)', 'petal width (cm)']\n",
      "\n",
      "Shape of data: (150, 4)\n",
      "\n",
      "First 5 columns of data:\n",
      "[[ 5.1  3.5  1.4  0.2]\n",
      " [ 4.9  3.   1.4  0.2]\n",
      " [ 4.7  3.2  1.3  0.2]\n",
      " [ 4.6  3.1  1.5  0.2]\n",
      " [ 5.   3.6  1.4  0.2]]\n",
      "\n",
      "Shape of target: (150,)\n",
      "\n",
      "Target:\n",
      "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
      " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
      " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2\n",
      " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n",
      " 2 2]\n",
      "\n",
      "X_train shape: (112, 4), y_train shape: (112,)\n",
      "X_test shape: (38, 4), y_test shape: (38,)\n"
     ]
    }
   ],
   "source": [
    "iris_dataset = load_iris()\n",
    "print(iris_dataset['DESCR'])\n",
    "print(\"Keys of iris_dataset: \\n{}\\n\".format(iris_dataset.keys()))\n",
    "print(\"Target names: {}\\n\".format(iris_dataset['target_names']))\n",
    "print(\"Feature names: \\n{}\\n\".format(iris_dataset['feature_names']))\n",
    "print(\"Shape of data: {}\\n\".format(iris_dataset['data'].shape))\n",
    "print(\"First 5 columns of data:\\n{}\\n\".format(iris_dataset['data'][:5]))\n",
    "print(\"Shape of target: {}\\n\".format(iris_dataset['target'].shape))\n",
    "print(\"Target:\\n{}\\n\".format(iris_dataset['target']))\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(iris_dataset['data'], iris_dataset['target'], random_state=0)\n",
    "print(\"X_train shape: {}, y_train shape: {}\".format(X_train.shape, y_train.shape))\n",
    "print(\"X_test shape: {}, y_test shape: {}\".format(X_test.shape, y_test.shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 112 entries, 0 to 111\n",
      "Data columns (total 4 columns):\n",
      "sepal length (cm)    112 non-null float64\n",
      "sepal width (cm)     112 non-null float64\n",
      "petal length (cm)    112 non-null float64\n",
      "petal width (cm)     112 non-null float64\n",
      "dtypes: float64(4)\n",
      "memory usage: 3.6 KB\n"
     ]
    },
    {
     "data": {
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x4KMdnOQk/+AfHtfLYorZwx4WsSig6+WjPMo61rle11LL4zzOMY7x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\nweDBcMYZQbnXUASX7EONzKpVZv9dtcoM+J1+u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23wf//neYLarp2p+SUjmyLS5eWZ7Hi9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n081iakjVel9IIxUtdbSiIc7rlVKxWmub1vpTqC64/FyY46opKuLUUsssGmzRrqntb2GmsX2J//bI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\neGZmZmZmZm3iPwExZtJs++7wAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x102f2ce10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pd.DataFrame(X_train, columns=iris_dataset.feature_names) #label columns\n",
    "df.info()\n",
    "\n",
    "scatter_matrix(df, c=y_train, figsize=(15,15), marker='o', hist_kwds={'bins':20}, s=60, alpha=.8, cmap=mg.cm3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test set score: 0.97\n",
      "Test set predictions:\n",
      "[2 1 0 2 0 2 0 1 1 1 2 1 1 1 1 0 1 1 0 0 2 1 0 0 2 0 0 1 1 0 2 1 0 2 2 1 0\n",
      " 2]\n"
     ]
    }
   ],
   "source": [
    "knn = KNeighborsClassifier(n_neighbors=1)\n",
    "knn.fit(X_train, y_train)\n",
    "pred = knn.predict(X_test)\n",
    "score = knn.score(X_test, y_test)\n",
    "\n",
    "print(\"Test set score: {:.2f}\".format(score))\n",
    "print(\"Test set predictions:\\n{}\".format(pred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# k-Nearest Neighbors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4Asnvfvc7HnjggTKv7dy5k/fff5/f/e53DBw4kD/+8Y+V1lcyCJV8XHLpK2MM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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112045198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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g1Biz1xizyxjjtORYBGcef2kIsMkYs89Y5uI7y0NYznAK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\njvMEdQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1119e1668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,5))\n",
    "plt.title(\"1 neighbor\")\n",
    "mg.plots.plot_knn_classification(n_neighbors=1)\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(5,5))\n",
    "plt.title(\"3 neighbors\")\n",
    "mg.plots.plot_knn_classification(n_neighbors=3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test set score: 0.86\n",
      "Test set predictions:\n",
      "[1 0 1 0 1 0 0]\n"
     ]
    },
    {
     "data": {
      "image/png": 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6zMwE80BGYSYoUSx3eK5oaDEaykvRtG9XyOeb9u1C484yDLs8fFGVKBwaTEa4Y8RwNJWv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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112599b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = mg.datasets.make_forge()\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)\n",
    "clf = KNeighborsClassifier(n_neighbors=3)\n",
    "clf.fit(X_train, y_train)\n",
    "pred = clf.predict(X_test)\n",
    "score = clf.score(X_test, y_test)\n",
    "\n",
    "print(\"Test set score: {:.2f}\".format(score))\n",
    "print(\"Test set predictions:\\n{}\".format(pred))\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(10,3))\n",
    "\n",
    "for n_neighbors, ax in zip([1, 3, 9], axes):\n",
    "    clf = KNeighborsClassifier(n_neighbors=n_neighbors).fit(X, y)\n",
    "    \n",
    "    mg.plots.plot_2d_separator(clf, X, fill=True, eps=0.5, ax=ax, alpha=.4)\n",
    "    mg.discrete_scatter(X[:,0], X[:, 1], y, ax=ax)\n",
    "    ax.set_title(\"{} neighbor(s)\".format(n_neighbors))\n",
    "    ax.set_xlabel(\"feature 0\")\n",
    "    ax.set_ylabel(\"feature 1\")\n",
    "    \n",
    "axes[0].legend(loc=3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7926GDh3qdCkdprB2gUalxDKkb7Qa5IqIyAULlKVIcmad8TtWWLtAxhhmZLlYs+8IB8p1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\nSapgljVJkqQK9v8Bizn3o0/l6YcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112599a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "training_acc = []\n",
    "test_acc = []\n",
    "neighbors_settings = range(1, 11)\n",
    "\n",
    "cancer = load_breast_cancer()\n",
    "X_train, X_test, y_train, y_test = train_test_split(cancer.data, cancer.target, stratify=cancer.target, random_state=0)\n",
    "\n",
    "for n_neighbors in neighbors_settings:\n",
    "    clf = KNeighborsClassifier(n_neighbors=n_neighbors)\n",
    "    clf.fit(X_train, y_train)\n",
    "    training_acc.append(clf.score(X_train, y_train))\n",
    "    test_acc.append(clf.score(X_test, y_test))\n",
    "    \n",
    "plt.figure(figsize=(10,10))\n",
    "plt.plot(neighbors_settings, training_acc, label=\"training accuracy\")\n",
    "plt.plot(neighbors_settings, test_acc, label=\"test accuracy\")\n",
    "plt.ylabel(\"Accuracy\")\n",
    "plt.xlabel(\"n_neighbors\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kTCn1NoCDOmMgIjJVYWEFPB7vKa95PF4UFnIyIto4QkltsfyaMRHJB5APAOnp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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x101d6f2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MRESmys4ugtvtqbPN7fYgO5uTEaHGEUpqjOXXjIlIFoAsAEhMTNQcDRFR+Ni5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\nNWSMSZIkNWSMSZIkNWSMSZIkNfQDI485bXKXCg0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x103883518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mg.plots.plot_knn_regression(n_neighbors=1)\n",
    "plt.show()\n",
    "\n",
    "mg.plots.plot_knn_regression(n_neighbors=3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test set R^2: 0.83\n",
      "Test set predictions:\n",
      "[-0.05396539  0.35686046  1.13671923 -1.89415682 -1.13881398 -1.63113382\n",
      "  0.35686046  0.91241374 -0.44680446 -1.13881398]\n"
     ]
    }
   ],
   "source": [
    "X, y = mg.datasets.make_wave(n_samples=40)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)\n",
    "\n",
    "reg = KNeighborsRegressor(n_neighbors=3)\n",
    "reg.fit(X_train, y_train)\n",
    "pred = reg.predict(X_test)\n",
    "score = reg.score(X_test, y_test)\n",
    "\n",
    "print(\"Test set R^2: {:.2f}\".format(score))\n",
    "print(\"Test set predictions:\\n{}\".format(pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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sj5RLtT1TiqLUL1F5ulWfFEWJmij0qRa1SQ09RakyxWTd9CPt2H7P37kFMVkl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\nBKOKnoiIiIiISIL5/7itngL3kIESAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f482940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n",
    "line = np.linspace(-3, 3, 1000).reshape(-1, 1)\n",
    "\n",
    "for n_neighbors, ax in zip([1, 3, 9], axes):\n",
    "    reg = KNeighborsRegressor(n_neighbors=n_neighbors)\n",
    "    reg.fit(X_train, y_train)\n",
    "    pred = reg.predict(line)\n",
    "    score = reg.score(X_test, y_test)\n",
    "    \n",
    "    ax.plot(line, pred)\n",
    "    ax.plot(X_train, y_train, '^', c=mg.cm2(0), markersize=8)\n",
    "    ax.plot(X_test, y_test, 'v', c=mg.cm2(1), markersize=8)\n",
    "    ax.set_title(\"{} neighbor(s)\\n train score: {:.2f}, test score: {:.2f}\"\n",
    "                 .format(n_neighbors, reg.score(X_train, y_train), score))\n",
    "    ax.set_xlabel(\"Feature\")\n",
    "    ax.set_ylabel(\"Target\")\n",
    "    \n",
    "axes[0].legend([\"Model predictions\", \"Training data/target\", \"Test data/target\"], loc=\"best\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Linear Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w[0]: 0.393906  b: -0.031804\n"
     ]
    },
    {
     "data": {
      "image/png": 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6dJZIL9FGkXkgfFleW+yBBx7QyJEjlZGRoalTp2r37t2dfm5eXrrc7rZ/xTt5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\nBQDAJMIUAACTCFMAAEz6/60otTHzuNK4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115077048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mg.plots.plot_linear_regression_wave()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear Regression (ordinary least squares OLS)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "lr.coef_: [ 0.39390555]\n",
      "lr.intercept_: -0.03180434302675973\n",
      "Training set score: 0.67\n",
      "Test set score: 0.66\n"
     ]
    }
   ],
   "source": [
    "X, y = mg.datasets.make_wave(n_samples=60)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=42)\n",
    "lr = LinearRegression().fit(X_train, y_train)\n",
    "score_training = lr.score(X_train, y_train)\n",
    "score_test = lr.score(X_test, y_test)\n",
    "\n",
    "print(\"lr.coef_: {}\".format(lr.coef_))\n",
    "print(\"lr.intercept_: {}\".format(lr.intercept_))\n",
    "print(\"Training set score: {:.2f}\".format(score_training))\n",
    "print(\"Test set score: {:.2f}\".format(score_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training set score: 0.95\n",
      "Test set score: 0.61\n"
     ]
    }
   ],
   "source": [
    "X, y = mg.datasets.load_extended_boston()\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)\n",
    "lr = LinearRegression().fit(X_train, y_train)\n",
    "score_training = lr.score(X_train, y_train)\n",
    "score_test = lr.score(X_test, y_test)\n",
    "\n",
    "print(\"Training set score: {:.2f}\".format(score_training))\n",
    "print(\"Test set score: {:.2f}\".format(score_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ridge Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alpha=1\n",
      "Training set score: 0.89\n",
      "Test set score: 0.75\n",
      "\n",
      "alpha=10\n",
      "Training set score: 0.79\n",
      "Test set score: 0.64\n",
      "\n",
      "alpha=0.1\n",
      "Training set score: 0.93\n",
      "Test set score: 0.77\n"
     ]
    }
   ],
   "source": [
    "ridge = Ridge().fit(X_train, y_train)\n",
    "score_training = ridge.score(X_train, y_train)\n",
    "score_test = ridge.score(X_test, y_test)\n",
    "\n",
    "print(\"alpha=1\")\n",
    "print(\"Training set score: {:.2f}\".format(score_training))\n",
    "print(\"Test set score: {:.2f}\".format(score_test))\n",
    "\n",
    "ridge10 = Ridge(alpha=10).fit(X_train, y_train)\n",
    "score_training_10 = ridge10.score(X_train, y_train)\n",
    "score_test_10 = ridge10.score(X_test, y_test)\n",
    "\n",
    "print(\"\\nalpha=10\")\n",
    "print(\"Training set score: {:.2f}\".format(score_training_10))\n",
    "print(\"Test set score: {:.2f}\".format(score_test_10))\n",
    "\n",
    "ridge01 = Ridge(alpha=0.1).fit(X_train, y_train)\n",
    "score_training_01 = ridge01.score(X_train, y_train)\n",
    "score_test_01 = ridge01.score(X_test, y_test)\n",
    "\n",
    "print(\"\\nalpha=0.1\")\n",
    "print(\"Training set score: {:.2f}\".format(score_training_01))\n",
    "print(\"Test set score: {:.2f}\".format(score_test_01))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jAwMDdt++fUE3AwAAoC5jzH5r7UC9x5FJA+AIdfkAwF/MSQPgCHX5AMBfZNIAH8QhC5VZ\nm9Heh0prS7OiGAC8Q5AG+KC/t1+PTD6imbmZhWNRy0IVVhLvGd2jmbkZ6vIBqCoOHdMwYLgT8EFc\ndoegLh8AJ5ge4Q6CNMAHcdkdgrp8AJyIS8c0aAx3Bmzgxjt0+Pj0ouMrli/RvusvDaBF8ErxnK4o\nX6yoywegHqZHuINMWsAqBWi1jiO64pKF6lnWo12X7Yps+wH4g+kRrSNIA3yUWZvR+pXruVgBiL24\ndEyDxHAn4KNCFgqLsRoMiB+mR7SGIA1oc2EJjuJQpgRAKTqmrWG4E2hzYVkqz2owAChFkBawFcuX\nNHQccFtYgqO4lCkBALcw3BkwymwgaGFaKh+XMiUA4AYyaQBCs1Se1WAAcBpBGoBQBUeUKQGAPIY7\nAUgKz1J5VoMBQB5BGgBJBEcAEDYMdwJAmclsVqMbBnVg9RqNbhjUZDYbdJMAtCEyaQBQZDKb1fjW\nbbJTU5Kk3NiYxrdukyR1Dw0F2TQAbYZMGgAUmdixcyFAK7BTU5rYsTOgFkXMscelf9ooHXsi6JYA\nkUeQBgBFcuPjDR1Hmbs/LD36XenuDwXdEiDyCNIAoEgynW7oOIoce1y6/3OSncv/SzYNaAlBGgAU\n6R0ZlunqKjlmurrUOzIcUIsi5O4P5wM0Kf8v2TSgJQRpAFCke2hI6e03KNnXJxmjZF+f0ttvYNFA\nPYUs2ux0/vPZabJpQItY3QkAZbqHhgjKGlWcRSsoZNN+96Zg2gREHEEaqtpy2xYdPHJw0fFV56zS\n7st3B9AiwHu875v02L2ns2gFs9P54wCaQpCGqvp7+/XI5COamZtZOJZKpLSud12ArQK85fR9TzBX\nJnNP0C0AYoc5aagqszajhCl9iyRMIvC9HQEvOX3f9/f2K5VIlRyjEwPATQRpqKpnWY82Xbhp4UaU\nSqS0+cLNWrF0RcAtA7zj9H1PJwaA1wjSUFPxjYgbENqFk/c9nRgAXmNOWhtqZC5N4UZ0y8FbuAGh\nbTh932fWZrT3ob2S6MQAcB+ZtDbU6FyazNqM1q9czw0IbcXJ+74QzBkZOjEAXGestUG3oWUDAwN2\n3759QTcjMg6dOKSNt27UqdlTC8c6Ozp1+2tu5yYDNOjQiUN697ferY+84iOcPwAcMcbst9YO1Hsc\nw51tqND73zO6RzNzM8ylgWvasSxFz7Ie7bpsV9DNABBDDHe2KRYEwAuUpQAA9xCktSnm0sALlKWI\np8lsVqMbBnVg9RqNbhjUZDYbdJOAtkCQ1sZYEAC3UZYifiazWY1v3abc2JhkrXJjYxrfui18gdqx\nx6V/2siG7ogVgrQ2VphLww0UbmIoPV4mduyUnZoqOWanpjSxY2dALari7g9Lj343v6E7EBMEaQBc\nxVB6vOTGxxs6Hohjj0v3f06yc/l/yaYhJljdCfhg4MY7dPj49KLjQ4d+qGt+eqdy4+NKptPqHRlW\n99BQAC10V2ZtRg8ffZgsWgwk0+n8UGeF46Fx94fzAZqU//fuD0m/e1OwbQJcQJAG+KBSgPbKX+zX\n1ffvVm52RpIW5vpIinygVq8sRTuW6oiq3pFhjW/dVjLkabq61DsyHGCrihSyaLPz59jsdP7zV7xX\nOnNlsG0DWsRwJxCQNz74VXXNB2gFoZzr4wFKdURH99CQ0ttvULKvTzJGyb4+pbffEJ6ORHEWraCQ\nTQMijkwaEJCek0crHg/VXB+PFO95WcAig/DqHhoKT1BW7rF7T2fRCman88dRVdSz2VFvv1MEaUBA\nDi09WysrBGqhmuvjEXa9gGsy9wTdgkjq7+3XI5OPaGbudDY/StnsqLffqbrDnSbvD40x2+Y/P88Y\n82veNw1RtuW2LXrRZ1606GPLbVuCblpo7FqzUVMdpUN+oZrr4zFKdQDBiXrh6ai33yknc9L+XtKv\nS3rd/OfHJP2/nrUIscCco1Irli9ZdOyu512sT1/yB+Gd6+MxSnUA7nPaQY564emot98pJ8OdL7XW\nrjfG3CdJ1tojxpjFdxygCHOOSu27/tIqX3m1pPf52ZRQoVQH4K5GhgGLr9NRvD5Hvf1OOMmkzRhj\nOiRZSTLG9Eiaq/0taFjMtjRpl14OWsOuF4C7GhkGjHo2O+rtd8JJJu3vJO2R1GuM+WtJWyRd72mr\n2lHRliZb5h6NxaqVdujltMsKIwDR0OiinKhns6Pe/nrqBmnW2s8ZY/ZLGpRkJG221h7wvGXtpGxL\nk/6XvzkWq1YKF4tbDt4S215Ou6wwAtxCx8Z7jXSQ6xWeDruot7+eqkGaMeZZRZ9OSPq34q9Za5/y\nsmFtpWxLk8zRSe2NyaqVuPdymHuHdtRKoEXHxnvt0EFuF7UyafuVn4dmJJ0n6cj8/8+W9KikCzxv\nXTuosKVJzwO7tenlb9aen98e+RpSce/lUO8LxdolS9RKoEXHxh9R6iBPZrOa2LEzdnsYu6FqkGat\nvUCSjDEfl3SbtfYr859vlPTb/jSvDVTZ0qQ4m8YFLNzaYe4dnGmXLFErgRYdG3802kEOqoMxmc2W\n7A0bpz2M3eBkdedLCgGaJFlrvyrpFd41qc1U2dKkZ+yHdVetDNx4h86/7suLPgZuvMOnxkNqjxVG\ncKZdCmy2unqbQsbhE1Rty4kdOxcCtIJ22cPYCSerOw8bY66X9Fnlhz//UNKTnraqndTY0iRz4lDN\ndPXh49MNHYd3ojS0AO+0U5aolQwyc6bCJ6hh6Gp7FU+PjelFn3lRybFms3pRHk51EqS9TtL7lS/D\nIUnf0undB+ChuM/nihM/X6t2mfcUVe0y/N1qoEXHJlyC6mAk02nlxsYWHX/yLFPyebNZvagPpzop\nwfGUpHf50BYADrTLvKeoaqcsUSuBFp3QvDB1uoLoYPSODJcEUZKkrk7dssGquG5+s+2pNZwahSDN\nyQbr3zTGfKP8w4/GAVisXeY9RVlmbUbrV66P/WvCjhGtC9M+x0HMr+0eGlJ6+w0lexj3bd+u3s1b\nXNmxptpwarXjYeNkuPN/Fv2/S9JrJOW8aQ6Aetwelhi48Y6K8xhXLF9SY89R1EKWCE6FrSRJEMPQ\n3UNDi7JamROXuJLVqzacmkynm/p5fqubSbPW7i/6+A9r7bWSXupD21DHiuWV97mvdhzx4ebqOBag\nAMEJ2z7HYcmOupXV6x0ZlunqKjlmurrUOzLsRjM9VzeTVrbzQELSxZKe7VmL4BhZjvbVTvOegLhr\nl8UmjXIjq1fI0MV5dWfxzgM5ST+V9GYvGwWgPlbHAfFAp6syt6YNVBpOjQonQdpqa23J0ghjTKdH\n7QFCIUwrrqqJ27ynqM2Ni1p7EW50ulCJkyDt/5O0vuzYdyocA2KDMhf+i9rcuKi1F6XC1hGLW6cL\n7qgapBljni3pOZKWGmNerPxwpySdJWmZD20DAhO2FVdeWrF8SdWMUDsiQ9Ye6IghCmpl0l4l6Y2S\nnivppqLjxyS9z8M2AYFrp+19CDxKkSFrD+3UEUN0VQ3SrLWfkfQZY8xrrLVf9LFNQCiw4gqIr3bq\niLWLsA1hu6HWcOcfWms/K+l8Y8y15V+31t5U4duAWCgMeXWuXKfUOffq2KEXa+CvvseQFxAjdMTi\nJY5D2LWGO8+Y/3e5Hw0BwqQwtDX95KASnROaPjxYchzui9rcuKi1F4uVl7647G/vC8V8xDhmhPwQ\nxyHsWsOd/zD/71/51xwgXGzuLJ189G1BN6MtRC1DWam9hQzs+dd9ueQ4GdjwKi598Y///r2Kj/G7\ncxbHjJAf4jiE7WTHgR5Jb5F0fvHjrbVXe9csAI0IS887DisjW8mQseggesJY+iKOGSG/xG0I20md\ntL2Svi3p65JmvW0OgHJOArCw9LzjEKREJZhEfMUxI+SXuO3e4CRIW2atfa/nLQHawbHHpd1vkrbs\nks5c6ehbnARg9LwRFXHItvohbhkhP8Vp9wYnQdqXjDG/Y639iuetAULCs0nhd39YevS70t0fkn7X\n2QJpJwEYPW9ERRyyrX7wOyMUp+A5jEPYzXISpL1L0vuMMackzSi/84C11p7lacuAAHlyUTr2uHT/\n5yQ7l//3Fe91lE1zGoDR8wZaE7YVu35mhAiew6lukGatPdOPhgCxd/eH8wGalP+3yWxatQAsSnMx\n4tRrLxa2mzwaE7b3npcZoWrnYCV+r1aO6/WhGU5Wd1baSH1S0s+ttTn3mwTEUCGLNjt/4Zmdbiqb\nVi8AC3ouhtMgJa69dqc3EG5CCFor55rX5+nh49N65S/2640PflU9J4/q0NKztWvNRt31vIs9/b1h\n5GS48+8lrZf0o/nPXyTph5LONcZkrLX/x6vGAbFRnEUraCKbVi8Ac6vn3WxJDwIMZ5wGqZPZrCZ2\n7FRufFzJdFq9I8PqHhryo4lAYF75i/161/271TWbXyy18uRRvev+wnXn1cE1LABOgrSfSXqztfbH\nkmSMWSPp3ZK2S7pVEkEaUM9j957OohXMTuePO+TnZNiwlPRoZ5PZrMa3bpOdmpIk5cbGNL51myRF\nOlBjSNh/jQxthsEbH/zqQoBW0DU7ozc++FVJ24JpVECcBGm/UgjQJMla+6Ax5sXW2keMMR42DYiR\nzD1Bt6AhlPQI3sSOnQsBWoGdmtLEjp3RC9KKSs+QbfVflAI0Seo5ebSh43HmJEg7aIz535I+P//5\n70v6iTGmU/nVngBiptKK0pmjAxr4q8Xb5rT9PKomat85kRsfb+h4qDVRegbB+dkH80OKhQUDPTqi\n/7XkY/rT6Wt0SGc7+hmtzLs8tPRsrawQkB1a6ux3x4mTIO2Nkt4uaVj58hv3SPqfygdov+VZy2Io\nLFv3oAEe3YCj4I2P/ZJe+b+m9KxJq6e6Z/XpXz5X33zO4sc100uP1ZBXnQCk2aGmZDqt3NhYxeOR\n0mTpGQSj+BwsnKfXJPfoJeag3pm8VdtyV3u+RdoX1w/p6u9+vmTIc6ojpS+uH9Ir6/8JseKkBMdJ\nSX87/1HuuOstijHm+URQm2YAJrNZPXPj32jFlJUkrZi0uuYHWdm5zpIVVssu+Kg6usb1os9cV/L9\nbbPAwEEA0kiAVnzz6x0ZLpmTJkmmq0u9I8Ott9tPLZSecROLMCorZM0q2Xf9pfn3+EevlnJWr++6\nR69/1997HmR/7FPv02T2RSWv1wtGhvWxOq9XHFdNOynBcZGkD0haI6mrcNxa+wIP2xVLoZvn08ZZ\nIkfaOANQaT5UYeJucZA2e+I8JZZMyCROb+vbVh2PagFI8blVQ60bZCGAiHRg0WLpGbfEdRGGLxwE\n2V4sTOgeGmr4tSmU7njzg1/WuSef1pNLu/WpNb8T6dIdToY7/0nS+yXtUH54803KD3uiQWHZuqdw\nQm1PflpXdXxHn/3Q2xdS2FHtbXgiJBmAIFSb91Q+cXf6yUGlzt5fcqxtFhjUCkCKM7AabPpXNHOj\ncltL2QkXSs+4IVaLMJrQ9PQCh0F2WBYmlJfuWHFyMvKlO5wEaUuttXcaY4y19ueS/tIY823lAzc0\nKAxb9xw+Pq0eHdGVHXcrYayu7PiWPpa7QoeO+zspM9Rz9EKSAQhKtflQ5RN3be4szRy9WGes+EH7\n7RlaLQC54/3Sg3sWMrA9utjxZOswaqnwsAulZ9wQq0UYTVgIphsdPQlJkO1UHEt3OAnSpowxCUmj\nxpg/lfTfknq9bVZ8ebJ1TxPDltck98goP98oobmFCaF+CvUcvYhdnNz2dxcM6uonFk/c3bVm46LH\nLj+5UcbcL6mNsmhS9QBk9GslGdggzq3QCEnpmbAswgh8zlSjc2w9CLK9XBwUx9IdToK0YUnLJF2j\nfAHbDZLe4GWj4s71rXsaPPEKWbROk9/Vq9PkFrJpbnFyMQrdHL1iIckAuMJpEF/0uGxPv46ty1Xc\nlqXSPKrt330wEnuGuqpSAHLscemj/SUZ2Ncm5zPVZdm0qKxkLSwOKTc7lVZUhpCqdTo+fcGgPuZj\nOwLdDq2ZObYuBNm15l267amlZ2nFyacrHO/2rQ1uc7K68/vz/z2u/Hw0SC1Nune1cnwTJ15xFq2g\nkE2TrnKlWU4uRkHN0XM0zBqSDIDkQu/baRBfNo/qruddvGjC7St/sV+jG25aNJE96D1DW1bpfG7m\nHK+Qge2zj4kwAAAgAElEQVTqkL7/sv3SK94TyYU6lRaH2LkOzZ54foCtakzVTkdPv/tBWlgXZDlZ\n5BKm9jbh5LqzZO6dlJ09PW3edFidWHdmgK1qTaLeA4wxA8aYPcaYHxhjHih8+NG4UCu5oQXcjvIT\nr471idGFLFpBp8np4sSoFy2sKbM2o4TJvw39yqL19/YrlUiVHAvNMGsFLfW+y4P4Y084elyPFg8P\nFCbl5sbGJGsXVshNZrMLHY/IZtEqnc/NnOO1MrBhuWY0aPrJQS1eK2Y0fbj5BRFBuOt5F+uNr7pe\nr978Eb3xVdfXXvF37HHpnzZWP19qCePrXG2O7bEnXGlvtayw39ni/+ulJ5V+yVEll+UkWSWX5ZR+\nyVG96qUnfW2Hm5wMd35O+b06fyRprs5j20NYSjM0Obn9DUv+tnpmpuhzP+ZPeDJHr45QD7O6zekK\n1bLHVZpHVWlSbssr5NzKYLWi0vks29w5Xi0DWxgGLf95EchinNu1QseOXqzU2ftkErOycx2aOTqg\nc5eeG3TTvNNsfcSw3BvKOVzk0mx7Q1MVIHOPujNSdAc3F3MSpB2y1t7meUuiJCylGZqc3O70hPJr\n/kS9oTK3V4GGpRSK55wG8RUed3qOol3YDqba5NuWVshVuhn6XUC4WjbazXO82jUjAsWS911/qQ6d\nWKeNX7xMp+Zm1ZXs0F2ZD7R+voQ1QG0l0Grh3lDYgqnA1cUEDhe5tPw+DOtrGmF1hzslvd8Y84/G\nmNcZY64ofHjesrCqlTau9vgG0+YDN96h86/78qKPgRvvKH1gTCa31xsq82J40pdh1laGTNxQK4iv\n87gOk8+mFW8HU23fvKZXyFUainU6PNvo76n2OlQ6n+/7bP7D6Tnu5PdXumaM/8j9v9UjPct6tCnV\nK2OtNqd63enQhHFYUGpqCokkR/eGRob/XO0MZ+6R/nKy9OPPDkozJyq/L+M01BtxToK0N0laJ+ky\nSUPzH7/rZaNCzemNr/jxDb5pHWewKp14fzkZiknvhYtRj47o5iU3LMxxamaOQnFAVdBqYFXIphmZ\nlrJoNQNqly9Y5c9lXU6D+AqPW6KcXp9+TH/UdY8SJr8dzIv//B0yXV0lj2tpm6JKN8Nmb5D1fk+1\n16HS+Tw7I82VDuu21JZq14xb/9j9v9Urxx5X5pH7tX7qlDKP3N96QOlFMF6D4zlTjXbCizm4N+y7\n/lL97IOvLvkITK33ZTPXLZ9fU1cE3ZF2wMlwZ7+19kWet6SMMeYySR+V1CHpH621H/S7DRU1kr0K\n6/wEHyyk6b90rbT/J/nVbU2m0b0annRjRWIhcO7RkYVhwUM6W+b4E85f+zpDBE1vcuw0WK/2uC9d\nKz31SP7/dk7dy34gbb/BnW2KqmWwCv8v/NvqeVPvHKx0PmtOZYufW8tQV7tmHDqohV8U9mLJd39Y\nPbM57Xp8QupY4t3wr0ccF3NtpT5i1EY26r0vfRzqDUwEphsYa8uvRmUPMOaTknZYax/0p0mSMaZD\n0k8kXSrpMUnfl/S6am0YGBiw+/btq/SlYH3pWum+f8m/8TuWSC/+I0dvhPK5CcX87HlVake1mklm\nuk8PvOVrpQcLk6VzU1KyS3rXA03fgA6dODQ/J2ZanYklun3L10Ixh6zwHOW32LpTn50d1Lbc1dqe\n/LT+qPNbzl77L10r7f8n6eI3VX9MnefS9UUexb+voJHXsN7NsPjcWJDILyIsvkk2cN5U1OQ56LlK\nf3+Y2les1feC1z/PAcfzWj/+MunxHy3+Ac9+UUlnxs15smG53ktq/nwJ4DVt+Zrn4v2pGcaY/dba\ngXqPc5JJe5mkNxhjfirplOYvo9batS22sZZfk/SQtfYRSTLGfF7SJkm+BYqtetX2L2hv7p/VZeaH\nTWandfL7/6KX37N4i5iw7plZab+3ajWTpo+ft/gHuNSzKpyM/yO9VD/sPqXVTy3VwF99LzTPW/kW\nW/+aG9SVHXfnh82k2lmSskzPq+67RAefOWPR7/ibpbt0ZaL6c+n6Io9Wd1yo10N1I4NVJxCsdg5u\nvu8SfW3ra+v/DU38Tsdazbr4OUHb7d03AtjNI7+7ycOamTtdeiiVSC6e1+ow+xzq3VKa1cpWeAG8\npi1f8yKS+XOSSatYsXB+H09PGGO2SLrMWvvH85//kaSXWmv/tNLj/cqkvfKVr3T82De/7Fy9tuOu\nknpkp2xSN8++suIWMed/928W/v+zS94tafEQWvnjgvDzl71Ny3/pw1KiqM7aXFLHH3qvnv8fH184\n9KwlM/q3l/5YnR2n319Ts0b/9/deqKemSxcB1POzS96tHh3RnmXX6vrebm2feFpXnLhJh3R24M/H\nzy55t7YnP73wWp+ySf3UrtQF5omS1356zugr48/SztHSYHb4okf1O+mntCRhNT1n9Pm5wUXvjx4d\n0bc7h08HG1r8XBbeM5U08xx98uL/0kVnLq4tNHpsqd6y/1dqfm/xa9/sa+7E8EWP6vK+J3Xb2LmL\nnlep9jn46Xue9OR3+sXPdrTyXvDj5zkxt3ROx658SrmO0/XekrNWZ97yLCVOOpmavfjnHdlypDTN\nkZPO2X1Owz/v0fVv19ySxR2zxPQzOu8Hf9/w45pVfC0qqHbdKhfEa9rKNa/e/emuu+5yq5lVuZZJ\n8zIYq6G8cqJU1sc2xrxV0lsl6bzzgrtYVtNKwdjE9DOaW3LGojlIielnvGquYzZ3ltY9fYZ+fNZR\nzSSMUnNWL3z6DH17trSi8+ufPy5T9iomTP54MzeVa5J71DM7q12PT+iUTYZmP8RKW2z9sv5bibK/\nfUnC6qJnL5OKXv5nLZnRxmefviguSVjtfe6PdWbndSXfOyXpqlPn6otjjy8ca+W5dKKVC2vxa+9F\nOx9d/3adu2Ral3UOK2GkV/Ud01+f+xY9OZ0quVnVOgc/rWc1/HsLr1fCSJc9+yn988/TngSfYWuH\n2zdZr27atayYndXg8ePae+byhevWpmPH9cPZbj3laP1cqcTJhDpHO3XqolP5u2hOmjl6sR7tv3Lx\nY+sEUYWvPWvJjLat+aluePCCiq9npQCt1vFGvfCsEyUBmpS/Jr3wrBN1vzeI17QVbt+fvORkuDMI\nj0l6XtHnz5VUsjuutfYTkj4h5TNpfjSqkei61jwDRz/72OPSR6+WcvmVda9/19/Pp5ybHKZxyUuu\n+6w+MPkTbT6rR5JRQlb/z+SortDR0r/h4y+THi/NVixJWG2+uE+bP3mXGvGS6z5bda9R13s8ToaR\nih5zy01/KjNX+vabUVI35ypnTH92V9Ecky9dK933k5Jhr7VTp/RwKqXZovtGck568alTJT9nScJq\n87oebf6NpdKWXTr/r/OZ5ErZVz96hQsW5nmcDjw3P/8Zbb7p5taG5Yqe8/P/ep+uSd68sLVZYUuz\nbbq65G+tOdfnribm+hS9Xl1LUrr1mpcGMzwSlnZEyZeu1aEffk7ZM89Q4br1juMntcLBc1dt7tO5\nZ02ps/MDOjV7Sp2dnTr+1GUVv39uyRnOzsEvXSvtf7Dq61nr/ezlOX6RJO9+evNaej5cvD95rfEu\nhD++L+kiY8wFxpglkv5AUnsV1PWiFIELChmtTcefyddMOv6Memdz8/t+FnGxPEjtvUabM5nNanTD\noA6sXqPRDYOazGbzX3BSNqPoMVeuHG9+i60K85LePnlUibK/NaekPvX4Bxc/l8//zUVtLc6+BqLR\nEjWN/Nz5v7VS9vLKjm85L03SjFZKMwTZjgiUGPDFY/eqZ2aq5Lq1YmbK0RzA4hXcxSVwnny6q6SM\nj51tYX/IKJavcKrSezDo92WIy1eVq5tJM8Z8yFr73nrH3GStzRlj/lTS15QvwfFpa+2Pvfp9odPK\nBM4yrqxCKspi/FryIXUqp8zRST2cSilzdFKdZk4vTT7k2WRmt/cancxmNb51m+xUfiVSbmxMP73u\nL/Tpz/+HPnzhP6vLzC0s8rDLe0sXJ5RfTCusCHKcRa1wQXjJdV/W/3j6A3WHk8vbseqMS/TUM9Ml\nCxg+lrtCdnlvQ89Ny7woQ1D2t74n+ZMaQftVdX9cj47kbxAtbpweyGTjRtsRgRIDvpg/1zInDunh\nb71bmd//iNTg6vDy6SdSaRmff/z37zXfPgeT2KutrJ+dSks6nRn2Yzu/hriwq0il+9iZq/N/+4mf\nvqvkuN/7hXrNyXDnpZLKA7KNFY65ylr7FUlf8fJ3eKnSysiC8iGpRW8qF28IrqxCKjqhVv3lD+f/\nBmlX0UNWSfl0fb0Tr4lAzuleozUV/d6JHTsXArSCztkZXX3gyzIXlg2hHS8bsvR4RdCqM56pOJz8\nx2ecno84cOMdetfUx/Xajpw6jXRqJqerZm/W0qUJdSWMNCstTUrff0nztelqqvUaetETLXvOBzvu\ncxS0VzsH37N0b+OBS1hqYLlRp7GNt+4p7G7S8PeVreD+WO4KHdLZTf+8Eg475dVW1s+eKF3b59d2\nfo64tC9utfvY7/e/XNe/LcCCwD6oGqQZY/5E0tslvcAY80DRl86U9B9eNyzqavZY6hV4bfKGUC1r\nZsrWYTRUrd9pQV6nj6vUg6qzyXbDvb9KP6/o91bba7LzxEzFeW+L/kY3i62W+dqLvyvdZ7Xp+DO6\n5czl2nz8GT3PzOWPz89HNMef0JWd5cN9d8vMSbIOyn4U/pZmb9ROX0M3VHjO3/Kcc/WTzsUT/2en\nnl1So6fi+2ZhrqdLG6d7qOL5vFRatf7Sulnwhe99XlEm9dbfzmfQE+eRXWtQ8ZSLhQ6cWwuXHHbK\nl5/cqFNn7y/7ZqPlJyvPhQsFl/bFzazNaO9De0uOebadX8jUyqT9q6SvSvqApOLlZsestU952qow\nanBC+ZZvvqPyMGP3L2n3f36ndjDT5A2hWm/jvDPP06PHHm2uWr/TzJGTx1UL5FpJh9cJyPS7Ny36\nvcmVq5V7fPFciOSy0gvloiE0hxfTahkcR2n4x+7V5MMdeu0DKb3mRE4dy1KaXNuh7p7TAXqlOXop\n5RYvifZiGKyR19ANFZ7ztacWL66wcx1Kzbyg5HFVh/pXnqPd/z3eUCY0iCGkVrLg/Wf/sh556r80\nU7SELWWt1p3xPOk77bkLSrOqzYEs6cCphfPeYad8//teo+3ffbBk55UrVl2h69/0msb/KJdVPdem\nZ7TbhV1FvNp1JgqqBmnW2klJk5JeN78DwMr5xy83xiy31j7qUxvDwclNqOgxVS+wU6c8Gy6r1tv4\n0Ms/pKu+ctXC5w1n0eqcUC/+5G8rt+QJ6bxnn/7eJ+9Q8pO/rfve8vXTxyoFcq94T2vp8DoBmV7x\n3kW/t/e3Vmp8z2TJkKftkHrXPl3yoxcNoTm8mLZy0558zns1fn9+vpyRNHciqfH709Jr3qvu+cdU\nmqOXNBUWOHuxXZnT19CtG3+lxRVHjyp75nLNFh3rSiV1+5tvLHlcxXPQWq0rvO4NZEJbGUJqdl5o\nw9mDog5L5uik9lqVFDNKWClz8D8qX3/aeAi0nvcs3btoBXdCc3r30r0qngPZ9HnfQKe8+D0RpkxS\nxXNNRutOlV8vZxYX2Goimxamv91rdVd3zk/gf0LSHZK+PP/xJY/bFS5OVt6UPSbzgtcs3hRcJr85\nsUcrxDbedL+OHVonO9chKZ9dOHboxbrq7x9tbjNxhyv1fvXElFJlF7HUnNWvniia91Ut4Pv6Xza/\nyXal16X8e+94/6Lf291xl9J/9hYlz5iVZJU8Y1Yfu/Rsvey3evSiC84r+bjyOUWBpw8rgirNl7NT\nU5rYsXPh81dPf0DnT/1rxQ9HbWt25XAjr2G17290RVeF57xn6xFt+pXXKpXI15Kq1qvOrM0sPget\nlDk6efqADyun+3v7F9paUDUjVvQcFbIH9f7OBcUrYMd+qE3Hjy+cl6k5q83Hj2vFxE8qX3+crGpu\nU9VWcL925ViV73BR2TlTeE80fC33WOVzzSpz5EjZI+cW31Mczu0M69/uNScLB4YlrbLWNleiOw6c\nDOWVPabn3n9cnJ5N9WrFbFkC0sVs2uHj0zJTg1oyP2/ByGj68KAOz043t5m4w8zR245Oavis0m57\nQrb0Zlgp4JublR74gmRnT//sRtLhlQKyB/eUfu+PviAlyvoidk7dT39G3ZuPLOxRd/LslbJzHYsm\n5ZYPoXmt2ny5ascb5vbWL5Vew1qvl0tDok561YuGSKzygcps0d/gw+T/hjJiZc+R4+xB+fZi9mP6\nyalZnbH8wzLKaVopnXu4X9PmHi1RUcBRfN54kAkN3UrDZgRZlqHCOVPvWt7SdIsmVRyOvOgKrXjj\n9a7+nqbuYxHnpE7aL5Qf9mxPTuoSVXlMcTYtYRL5oMXjFWKFHQGMtVr39BkLtXsKq5Aa6n04zBz9\n4ckP6tjRXy/N4B39DV118oOnH1Qp4JubOX1zL5idyR8v+aMqZDsqPec/+sLin2dnT++hufA7pqVD\nB0u+92+OPaSuZEfJw7pSSd1ZNoTmtWQ6Xfd4tYuto4twK3XMnL6GtV4vl+pAOe1VF/fwE8lOZf54\nn++1kRxnxCo8R46zB2UdlqtO3SybO0szRy+WtUYzRwf0cvvT0gBNyr+eo1+rnAl1oZZVw8PEQdfP\nCpMq50y9a/m+6y/Vzz746kUfXgfFJeeaR8ORTd3HIs5JJu0RSXcZY76s/AbrkiRrbXssC3IyWbzK\nYwrZtFsO3pK/wF7ibq+ikh4d0Qcmf6LrO7u1fX4ngPIN3b0w/eSgUgsrj/IZvBKVboQff5n0+I/K\nDjrcZLvicz4rzZYFDJL07BeV/v4vXSvd9y8lAUfPbE6bUr3aM/NEoBNTe0eGS2q4SZLp6lLvyPDC\n504vtpWyGF9e8nW9MNFkR8Hpa1jv9XIpe1yxV102t6oQ5CycgwFd3B1lxKo8R3WzBxU6LIWJ7Yef\nHFSic0LThwf16tnNkqSfffDVpd/70f7KmdUgaqy1S103J3MAWz1nfJ5n6ORci0Vm1WdOgrRH5z+W\nzH+0FydDfjUek9mwx9f0bFB7XBZ67alz7tXM0QFn1bdbyWBUes6lRQHZwI136PDPpqWiArPVApXM\n0UntXe5tT7Ce7qEhSfm5abnxcSXTafWODC8cb0Sli+Grpz8gqexG3Qonr6FHpUsq1qhqYnjIiVaH\nkOrewCo8R1P7/kX/456L5ztZV2rgru8t/M6SG1qFDktxmYiTj76taru27L1CB5+3uODxqn+/XLt/\n/jN/V4E2sqAl6gsd6gWjbpwzAQS89c61UNVwiwgnG6z/lSQZY86w1ga/w7fPBg6/X4enKlycD58u\npFrzMW4UO3TI6VJxtxVuYNNFvfbC8QKnPSjHPa0KwUGlgKySaoFKj6RN390eeNale2ioqaAstPyq\n1l/lJu9GwVE3evk1b2AVniNj84HWx3K/V1L8etH5UaHD4nRHjv5Tp/RIwmomUVSqY85q3TNHPS3a\nXFEjmSM3AxC/Az4HwegtN71Tl8/li1UXnJrJae9N79Rr3/8FV36HF1wp7lss6sG4C5xsC/Xrkj4l\nabmk84wx/ZLeZq19u9eNC4NakX+97X/87h1UWyr+zuStOv+60iFPN9PLpT/ndRUf47QH1UpPq9Hn\nu/z1W7F8ib56bftNTPWcX9X6Pd4NolU1b2A1Aq1K2xGVqNBhcbo1WeZ1t2vvrRul2YWZLPm5e0ef\n9LRo8yKNZI7cDkD8zjg5eJ+umT2ozsTiFaUvnP0v135HJLTL8HcNToY7d0p6leY3OLfW/tAY83JP\nW4WmXLlyXHrc2R6XYUovO97r0mOHj0+73xOsoW3mZ/ixOs6H3SA8VSXQ6tERfbtzeNF2RPU4HZ7d\neNP9OnbGOqXO3ieTmJWd69Dqo0t11nTZ95bd6J2+dx0PEzeSbXUzAGk14Gs00+PwfVrI9lfys3q/\nM+rnQkFA2cCwcRKkyVr7C2NKKtBVmJ2NwLXQo46aajeJKGF+hovCsgG6y5rdjshpkF8o21O86Cdz\ndLLyKtCizGfhPVq+D3H5e9dxZ8NpttXtAKTVgK/RTI8b79N6vzMu50K1wtltNvzpJEj7hTHmNyRZ\nY8wSSddIOuBts4DaCGTqC6JeUmA8HlJtdteAVvg1x7R80c9VJyusAq2i7lCsU7WyrcWZIxcDkFdt\n/4L25v5ZXeb0frcnv/8v2nzfJfra1tfW/N6BG++QOf6Evt35z+oyczr5/X/Ry++5WHZ5b+3AtMX3\naY+O1M8u+TW9oAmOr0nVgvGZE203/OkkSMtI+qik50h6TNL/kfQOLxsFoHVxGDJtZSGJm1rZR7NZ\nTrcjckP5oh8nCkFko0OxDSvOHLkYgPzhqZtlOhY/v1edullS7SDt8PFpba+U5TxeJ1Bt8X16TXJP\n/cyfX8V3m5jU7/iaVLNwdnsNf9YtZmutPWytvcpau9Ja22ut/cN22n2glaxDLDMWTWr1uWj1dSgu\n6ojoCMuQcMVtbzwu0+LndkQ2d5ZOPvo2Z6Vz5lUainVd+bykq77o2tZslfbAdboqtlqWs0dHG25H\nJZWudz06oiuTd3u2rWDD3N5KrLiQcb3C2S4XXQ6zqpk0Y8x7rLUfNsZ8TIvLi8pae42nLQuJ8sg/\napO9wzLkVem5qTVfrpVgqt73NvucRO21h3sqbnvjdZkWh4FHEO9L38r9eLhKsebk/Drfe01yj47/\nfIl+8cA5yp3oUHLZrM5Z+4ze+dxb5UaWs+Lr9qVrpftM6YzwoOaaeTGpvzjoK3/vF4ou5+aLfAdd\ndNlHtYY7C/PO9tV4TNuJ2s04zO0NKoBs9jlxO6sTlgAazjjeR9Nnrbwvm30P+jIUG+JViut/8V86\nvO9M2dl8djV3IqnD3z9TF1uHJTKaEaa5Zm4Hz/WCvmpzET3cdzYsqgZp1trs/L+f8a858EwIiwK2\nEkDGIcAJcwCNxcKyxZSbmn0PViv34+pQbIhXKR564CytnC0d2rSzCR164CzvfqnTxRUuXt+rLpiZ\nntFuN4PnekFftQC10r6zMcumOSlme4ekK621R+c/P0fS5621r/K6cWEQxKouT8QsJUyAAzc0OlTo\nxhZTseDH5HSPM0etdPR6T1aee1btuOc8ur5XXDAjo3WnatfRa4iDjGmlXX16dETf1rC6NFP1++LA\nyerOnkKAJknW2iPGmMWbvcVUEKu6amqmx0RRQESU1xnTRocK/Sx23PY8DgRb6eil+vqUG1ucNUz1\n9bXSpOZ4eH0vHuIvSFirzJEjpQ9sJXh2kDGtdD5ek9wjY61kqn9fHDgJ0maNMedZax+VJGPM81Vh\nIUFcVXyTBjkfpZkeU1y2CKkjNllPLGiXjCmLUqKld2RY41u3yU5NLRwzXV3qHRn2vzEeXt8rLpi5\n6AqteOP1rvx8SU1nTCutzg1LPTg3OQnS/kLSPcaYu+c/f7mkt3rXpHAJZFVXNc30mEI8+dZtXmc9\nz/qlv5Ndsrj3bKb7JFHaA81zmtGr1BE5c7U0O5XWiZ++q+R4lOZnRk330JAkaWLHTuXGx5VMp9U7\nMrxw3Dc+XN89XzDTZMa0sDo37mWV6gZp1trbjTHrJV2ifGJxxFp72POWhUhoVnU102NyOPk2Dlmo\nSlnP3FxONx+8WTcfvLnkeDN/15UvetlCsF6QSqR0zbHnanTDYLAXa7SFah2R3+9/ua5/W+2bFdk6\nd3UPDQV/nvuwuCKOC2aipFadtF+x1v7XfIAmSYUUwnnzw58/8L554RCKN2mzPSaHqeTQzb1rQqWs\n53lnnqdHjz3qyt9VKQj8zR/P6qW371du6pQkKTc2pvGt2yQp8At4HAJvp9olAPn3b6zRdPpWFdfV\nnc5Z7fnGal1/Se3vdZqta5fnMhZ8Ksvh1oKZdromuaVWJu1a5Yc1/7bC16ykDZ60KKQCX9XVbI/J\nYSo5dHPvmlSe9fzQyz+kq75SWrep2b+rUhD4hm8baepEyePs1JR+uP09esdT7ys57veFqFLgLduh\nHz18zqJCwlG/ATdbKyxqpVyefLpLnUsvVursfTKJWdm5Ds0cHdDxp7tc+x1h2eWhZWEqO+RVW3za\nAsqtBTPNJgOidp66qVaQdsf8v2+21j7iR2PCLPBVXR73mEI1964F5VnPVc9a5erfVR4EnvHUiYqP\nO/fp0s+DyEpWCrytNRX3Z4zcDdglUQxMp58cVOrs/fOfVX49oXCVHQpTWwLUbDIgiuepW2oFaX8u\n6RZJuyWtr/E4+MGHHlNo5t61qDzr6ebfVR4EJtPfrLgU/6luU/J5pd/rdeq/UuD9zFMXN7Q/I/zR\nSKbA5s7SzNGLlTrnXs0cHeD1rMTFshQtn6eUQFoQl2SAn2oFaU8ZY74p6QXGmNvKv2itvdy7ZiEI\noZh754LyrKfbf1dxEJga6a+4FP/h33+xUon7a16I/JgHWB6gknUJp0YzBdNPDirROcHrWY2LZSla\nPk/bpASSU3FJBvglUeNrv6N8Nu2Q8vPSyj8QQ5m1Ga1fuT52J46bf1chCFyxdIW6h4aU3n6Dkn19\nkjFK9vUpvf0GvTrzISXmZ3dXuxBl1mYWHlPg9kWrEKAaGW2+cDNZl5iwubN08tG3NfR6Vpu/E7t5\nPdUWWR17oqkf19J56nJb4qD8mhTVZIBfamXSPmWt/SNjzCettXfXeBxiJPC5dx7x8u+qthS/XvbO\nr9R/cebvH//9e67+bCf8WC3YLhOLW/k7nT7XkX8uXS5L0dJ5GuL9R4MU+EK8CKkVpF08v7vAVcaY\nT6p08wVZa5/ytGVAxDm5EPmR+i8OUIO4AfuxWrBdJhb78XdG/rn0YJFV0+epTyUyoiauyQAv1ArS\nPi7pdkkvkLRfZTtkzR8HAhGFejtOLkR+zwOM/A0YqMeDRVZNn6c+lchAfFUN0qy1fyfp74wx/9ta\n+yc+tgkx5DSocvq4OBTfLSD1D4Qf5ymCUGvhgCTJWvsnxpiXGWPeJEnGmBXGmAu8bxripL+3X6lE\nqn+siUsAACAASURBVORYpaDK6eP8mHTvl+KFCABaN5nNanTDoA6sXqPRDYOazGZb/pmcpwhC3SDN\nGPN+Se9VfqWnJC2R9FkvG4X4cRpUOX1cYfihENBRbweAlA/Qxrduy9cvtHZhqzY3AjXAb3WDNEm/\nJ+lySc9IkrV2TBLr+OPq2OPSP210fYm406CqkeCrOKCLahatHbRN6QeEwsSOnSV1C6X8Vm0TO3YG\n1CKEgkf3Nq/VWjhQMG2ttcYYK0nGmDM8bhMCUCiTsD35aV3V8R199kNv17bc1a6WSXC6Qsrp4+JS\nfDfKnJTXYLEC/JQbH2/oONpERLfmcpJJ+4Ix5h8knW2MeYukr0v6pLfNgt8OH59Wj47oyo67lTBW\nV3Z8Sz066mqZBKdFDBspdhjX4rtREZvNuBEbyXS6oeNoA+Vbc0Uom1Y3k2at/Ygx5lJJT0taJWmb\ntfaOOt+GCLomuUdGVpKU0JzembxV23JXu/o7nK6Qcvo46u0AKNY7Mlxxq7bekWFPf28UygK1rQhv\nzeUkkyZJD0i6W9Jdkn7oWWsQmEIWrdPkJEmdJreQTXP19zhcIcVKKgDNqLZVW6VdQdzkdGU6fBbx\nrbmcrO58raR7JV0p6bWSvmeM2eJ1w+Cv4ixaQSGbBgBR0j00pIu+cadWH3hQF33jTs8DNCleZYFi\npdbWXBHgJJP2F5JeYq19g7X29ZJ+TdJWb5sFv61PjC5k0Qo6TU4XJ0YDahEARAdlgUIq4ltzOVnd\nmbDWThR9/qScD5MiIt6w5G+rr9ILoD2Ihshvxg24yI+9eNGgiG/N5SRIu90Y8zVJ/zb/+e9L+qp3\nTUIQKJOAZvC+QZRNZrOa2LFTufFxJdNp9Y4MtzQ0GtayQCxqiC4nqzvfbYy5QtLLlN9k/RPW2j2e\ntwxALHCDQBgVdiYorAIt7EwgqaVArXhlupM6gn6I017H7abqsKUx5kJjzG9KkrX2VmvttdbaEUlP\nGmN+ybcWAog0Vr0hjLzamaB4ZXpY6giyqCG6amXSdkp6X4XjJ+a/5v1yGSwIS48MaFTxPJ2CIG4Q\nnEMo1k47ExSGYfeM7tHM3AyLGiKkVpB2vrX2gfKD1tp9xpjzPWsRKgpLjwxoVFhuEJxDKJZMp/Ob\nsFc4HhWNdDxY1BBNtYK0rhpfW+p2QwDEFzeI6GiXOYRB7UzgpkY6HmFd1IDaapXS+P78Xp0ljDFv\nlrTfuyYBiJtG9mNFsNplDmFQOxMEib2Oo6dWJm1Y0h5jzFU6HZQNSFoi6fe8bhiAeHG6HyuCFZY5\nhH7oHhryNCgLWx1B9jqOnqpBmrX2CUm/YYz5LUm/On/4y9bab/jSspBql6EAwG3cIKIhLHMI44AF\nKWhV3Z0DrLXftNZ+bP6jrQM0KbihgGo9Lyq7A85wDjlXXLIhrlk0IAqc7DiAIkENBdAjA1rDOeQc\nk8yjIWzDqXAfQVqDGAoA0A6YQxh+dDzij43Sm8BQAIC4K66cDyAYBGlNoJwAAADwGsOdTWIoAAAA\neIkgrUnF5QQoywEAANxGkOaC/t5+PTL5iGbmZhaOxbFCN6KPDgUARAdBmgvaqUI3oo0OBYB20sgm\n9GHEwgEXFBYSFIrcUpYDYVW8MrmADgWAuGpkE/owIkhzCWU5EAV0KAAgOgjSXEJZDkQFHQoAiAbm\npLmIshyIArb8aU8sGgGihyDNRcVlOYAwo0MRH06DLxaNoB0tu+Cj6ugaX3R8diot6dX+N6hBBGlA\nG6JDER9Ogy9WoSOMvF59mZq5QLNLJmQSswvH7FyHUjMvaPln+4EgDQAC1spQpNPgqzDMvWd0j2bm\nZlg0glDwevXl16++URtv3ahTs6eDtK5UUre/+UZXfr7XWDgAAAHr7+1fWHFb4HQospEVuywaQbuJ\n+op2gjQACFir9eucBl+sQkc7inLnhOFOAAhYq0ORjazYZdEIWhHFCv5RXtFOJg0AQqDV3n5mbUbr\nV66v+32FRSNRulEhPKJawd/p+RE2BGkAEAKtDkUSfCGKVixf0tDxZkX1/GC4EwBCgqFItJuwDpGG\nBUEaAIQE9etqi+J8KKAVDHcCETCZzWp0w6AOrF6j0Q2Dmsxmg24S4LuozocCmkUmDQi5yWxW41u3\nyU5NSZJyY2Ma37pNktQ9NBRk0wC0mRXLl1TNZsJ9BGlAyE3s2LkQoBXYqSlN7NhJkAbAVwwr+4vh\nTiDkcuOLNweudRwAEA9k0oCQS6bTyo2NVTwOoNTaT75Kdsni88VM9+mBt3wtgBYBzSNIA0Kud2S4\nZE6aJJmuLvWODAfYKsA9TldtOpkPder485Q6+wmZxOkNte1ch6aPn+dyqwHvEaQBIVeYdzaxY6dy\n4+NKptPqHRlmPhpiw+mqTSfzoaafHFTq7P1lR42mDw822zwgMARpQAR0Dw0RlCFytty2RQePHFx0\nfNU5q7T78t2e/E6bO0szRy9W6ux9MolZ2bkOzRwdkJ0905PfB3iJhQMA4AC16hrX39uvVCJVciyV\nSGld7zpPf+/0k4OSzPxnZNEQXWTSAIRWEJmYSqhV15zM2oz2PrS35Fgzm8c3aiGbds69ZNEQaWTS\nAIRWUJmYcrVq1aG6wqbxhdcwlUg1tXl8IwqLCKafHNTsifMXsmgUW0UUGWtt0G1o2cDAgN23b1/Q\nzQDgskMnDmnjrRt1avbUwrHOjk7d/prbPb3Rlzuweo1U6VppjFYfeNC3dkRR8WtY7bWrtrqzEvbp\nRBwYY/ZbawfqPY7hTgChVcjE7Bndo5m5GV8yMZVQq655hdfwloO3VH3tKgVd51/35Yo/j3060U4Y\n7gQQapm1GSVM/lLlx3ymSnpHhmW6ukqOUavOuczajNavXB/IawdEGUEagFArZGKMTCBZNCm/OCC9\n/QYl+/okY5Ts61N6+w0sGnCoZ1mPdl22K5DXDogyhjsBhF5mbUYPH3040EwMteoA+I0gDUDoFTIx\nANBOGO4EAIROtZIZlNJAOyGTBgAIHcpsAGTSAAAAQokgDQAAIIQI0gAAAEKIIA0AACCECNIAAABC\niCANAAAghAIJ0owxVxpjfmyMmTPGDJR97c+NMQ8ZYw4aY14VRPsAAACCFlSdtP+UdIWkfyg+aIxZ\nI+kPJL1QUp+krxtjftlaO+t/EwEAAIITSCbNWnvAWnuwwpc2Sfq8tfaUtfankh6S9Gv+ti5+JrNZ\njW4Y1IHVazS6YVCT2WzQTQIAAHWEbceB50j6btHnj80fQ5Mms1mNb90mOzUlScqNjWl86zZJYrNo\nAABCzLNMmjHm68aY/6zwsanWt1U4Zqv8/LcaY/YZY/YdOnTInUbH0MSOnQsBWoGdmtLEjp0BtQgA\nADjhWSbNWvvbTXzbY5KeV/T5cyWNVfn5n5D0CUkaGBioGMhByo2PN3QcAACEQ9hKcNwm6Q+MMZ3G\nmAskXSTp3oDbFGnJdLqh4wAAIByCKsHxe8aYxyT9uqQvG2O+JknW2h9L+oKkByXdLukdrOxsTe/I\nsExXV8kx09Wl3pHhgFoEAACcCGThgLV2j6Q9Vb7215L+2t8WxVdhccDEjp3KjY8rmU6rd2SYRQMA\nAIRc2FZ3wgPdQ0MEZQAAREzY5qQBAABABGkAAAChRJAGAAAQQsxJi4gtt23RwSOLd9Jadc4q7b58\ndwAtAgAAXiKTFhH9vf1KJVIlx1KJlNb1rguoRQAAwEsEaRGRWZtRwpS+XAmTUKY/E1CLAACAlwjS\nIqJnWY82XbhpIZuWSqS0+cLNWrF0RcAtAwAAXiBIi5DibBpZNJSbzGY1umFQB1av0eiGQU1ms0E3\nCQDQAhYOREghm3bLwVvIoqHEZDar8a3bZKemJEm5sTGNb90mSRQyBgLCgi+0ikxaxGTWZrR+5Xqy\naCgxsWPnQoBWYKemNLFjZ0AtAsCCL7SKIC1iepb1aNdlu8iioURufLyh4/AXQ9HtiQVfaBVBGhAD\nyXS6oePwT2EoOjc2Jlm7MBRNoBZ/LPhCqwjSPETvGX7pHRmW6eoqOWa6utQ7MhxQi8IhDOcgQ9Ht\njQVfaAVBmkfoPcNP3UNDSm+/Qcm+PskYJfv6lN5+Q1svGgjLOchQdHsrZNOMDFk0NMxYa4NuQ8sG\nBgbsvn37gm5GidENg/mbQ5lkX58u+sadAbQIaC9hOQfD0g4E59CJQ3r3t96tj7ziIwRpkCQZY/Zb\nawfqPY5MmkfoPQPBCss5yFA0WPCFZhGkeYSJ3ECwwnIOMhQNoFkEaR6h9wwEK0znYPfQkC76xp1a\nfeBBXfSNOwnQADjCjgMeKVyEJ3bsVG58XMl0Wr0jw1ycAZ9wDiLu2NEg/gjSPNQ9NMQNAfDJZDZb\nMSDjHERc9ff265HJRzQzN7NwjB0N4oXhTp+FoW4TEDdhKbcB+IkdDeKPIM1H3EgAb1AwFu2IHQ3i\nj+FOH9W6kTAkAzQvLOU2AL9l1ma096G9kvzJojEPzl9k0nzEjQTwRljKbUhMaYC//N7RoL+3fyFz\nV8A8OO8QpPkoTDcSIE7CUm6DKQ0IQmZtRutXrvdlLhrz4PxFkOajsNxIgLgJS8FY5sYhCH7uaMA8\nOH8xJ81H1G0CvBOGchtMaUA78HseXDsjSPNZGG4kALyRTKcrb6bOlAbESCGbdsvBW8iieYwgDaii\nWnFUoJrekWGNb91WMuTJlAbEUWZtRg8ffbjlLBqrRWsjSAMqKEwAL9xsCxPAJRGooSqmNKBdFObB\ntYpdE2oz1tqg29CygYEBu2/fvqCbgRgZ3TBYediqr08XfePOAFoEAPFz6MQhbbx1o07Nnlo41tnR\nqdtfc3ush1GNMfuttQP1HsfqTqACJoADgPdYLVobQRpQATXtwoPisEC8FddeY7VoKeakARUwATwc\n3JwbyARlIJxYLVodmTSggrAUR213bhaHZTsbILz83DUhSlg4ACC0DqxeI1W6Rhmj1QcebOhntesE\nZcQHZYHig4UDACLPzbmBTFBGlLEvbHtiThqA0HI6N9DpfDO2swkn5gvWV2von2xafJFJAxBaTucG\nOp1vVsimGRmyaCHCfMH6KAvUnsikAQg1J/vdFmfICqplytzazgbuaeT1a1fsC9ueyKQBiLxG5psV\ntrMhixYezBesr3dkWKarq+QYZYHijyANQCxQEDPaeP1qoyxQe2K4E0AsUBAz2nj96nMy9I94IUgD\nEBvMN4s2Xj+gFMVsAQAAfOS0mC2ZNABA6FA7LRzY5SBYLBwAAIQOtdOCxy4HwSNIAwCETvFqzwJW\nffqr1i4H8AdBGgAgdKidFjx2OQgeQRoAIJSonRasarsZsMuBfwjSAAChxF6rwWKXg+CxuhMAEFrU\nTgtOYRUnqzuDQ500AABAuQ0fUScNAAA4Uii3UVjNWSi3IYlALUDMSQMAoM1RbiOcyKQBaFtUtQfy\nKLcRTmTSALQtqtoDeZTbCCeCNABti6r2QB7lNsKJIA1A26KqPZDXPTSk9PYblOzrk4xRsq9P6e03\nsGggYJTgANDWDp04pI23btSp2VPq7OjU7a+5nSANgKecluAgkwagrVHVHkBYsboTQNujqj2AMCJI\nA9D2epb1aNdlu4JuBgCUYLgTAAAghAjSACDiJrNZjW4Y1IHVazS6YVCT2WzQTQLgAoY7ASDC2HMR\niC8yaQAQYey5CMQXQRoARBh7LgLxRZD2/7d39+FRVnf+x99fksijGwSJTUwruPIQxMkQSAI/BaKQ\nQCvPyIVdamEpVFR+KrYsKygF09aqrLhUFlxKN6j5KasUKm0vNaCCIpQEDBQEoaux5aGV8hAJhDUJ\n5/fHTKYJeSBAwkxmPq/rypXMue8593fmzj355pxznyMi0oxpzUWR8KUkTUSkGdOaiyLhSzcOiIg0\nY5U3B3yx6DnKjxwhOj6euJkP66YBkTCgJE1EpJmLHTFCSZlIGFJ3p4iISIjR3HcCStJEIo4+/EOT\nzotUqpz7rvzwYXAuMPedficij5I0kQgS6R/+oZoIRfp5keo0951UUpImEkEi+cM/lBOhSD4vUpPm\nvpNKStJEIkgkf/iHciIUyedFagrnue9CtTU7VClJE4kg4fzhfyGhnAhF8nmRmsJ17rtQbs0OVUrS\nRCJIuH74N0QoJ0KRfF6kptgRI4jPfoLohAQwIzohgfjsJ5r9NCuh3JodqjRPmkgEieSJT+NmPsyR\nx+dV+yMRKolQJJ8XqV04zn0Xyq3ZoUpJmkiECccP/4YI9UQoUs/Lxbjrjbv45MQnNcq7X9Od10e+\nHoSI5GJEx8f7ujprKZfaKUkTkYihRKh5S45L5tPiTyk7VxYoi2kRgzfOG8SopKFCuTU7VGlMmoiI\nNAvTPdNpYdX/bLWwFkxPnh6kiORihOtYu6akljQREWkWOrXpxKibRrHmwBrKzpUR0yKG0TeN5trW\n1wY7NGkgtWZfHLWkiYhIs1G1NU2taBLulKSJiEizUdmaZpha0STsqbtTRESaleme6fzPyf9RK5qE\nPSVpIiLSrHRq04mcYTnBDkOkyam7U0RERCQEqSVNRBqkrKyMgwcPcva8ZV0kfLRq1YrExERiYmKC\nHYqIoCRN5KIUr1sXsjPWN7WDBw9y9dVX07lzZ8ws2OFII3POcezYMQ4ePEiXLl2CHY6IoO5OkQYr\nXreOI4/P8y1r4hzlhw9z5PF5FK9bF+zQroizZ8/SsWNHJWhhyszo2LGjWkpFQoiSNJEG+mLRc9WW\nMwFwZ8/yxaLnghTRlacELbzp/IqEFiVpIg1UfuTIRZVL44uKisLr9dKrVy9GjBjByZMnATh8+DB3\n3XVXrc/JyMigoKCgyWIqKiqiV69el73PpRg2bBjt27dn+PDhjV63iASfxqSJNFB0fLyvq7OWcqmu\n74/z+FvJVzXKr213FQWPZV5yva1bt6awsBCASZMmsWTJEubOnUtCQgKvv/76JdfbXM2aNYszZ87w\nwgsvBDsUEWkCakmLUMXr1nHgjsHsTerJgTsGR8y4qssRN/NhrFWramXWqhVxMx8OUkShq7YErb7y\nS9G/f38OHToEVG+pKi0t5e6778bj8TBhwgRKS0sDz1mxYgXdunUjIyODadOmMWPGDACOHj3KuHHj\nSE1NJTU1lc2bN9c4XlFREQMGDCAlJYWUlBQ+/PDDGvvk5OQwatQohg0bRvfu3VmwYEFgW0VFBdOm\nTePmm28mKysrENfy5ctJTU0lOTmZcePGcebMmQa/B4MHD+bqq69u8P4i0rwoSYtAkT4A/lLFjhhB\nfPYTRCckgBnRCQnEZz8RMXd3hpKKigo2bNjAyJEja2xbunQpbdq0YdeuXcydO5ft27cDvi7R7Oxs\ntm7dSl5eHvv27Qs856GHHmLmzJnk5+ezevVqpk6dWqPeuLg48vLy2LFjB6tWreLBBx+sNbZt27aR\nm5tLYWEhr732WqCr9cCBAzzwwAPs2bOH9u3bs3r1agDGjh1Lfn4+O3fuJCkpiRUrVgCQm5uL1+ut\n8VVXt66IhB91d0ag+gbAK+GoX+yIEXqPgqi0tBSv10tRURF9+vQhM7Nm1+mmTZsCCZTH48Hj8QC+\n5GnQoEF06NABgPHjx7N//34A1q9fz8cffxyo48svv+TUqVPVWqnKysqYMWMGhYWFREVFBZ57vszM\nTDp27Aj4ErAPPviA0aNH06VLF7xeLwB9+vShqKgIgN27d/PYY49x8uRJSkpKGDp0KAATJ05k4sSJ\nl/xeiUjzpyQtAmkAvDRXlWPSiouLGT58OEuWLKm1Rau2uxSdc3XWe+7cObZs2ULr1q3r3GfRokVc\nd9117Ny5k3PnztHqvK7vuo5d+bhly5aBsqioqEB35+TJk1m7di3Jycnk5OTw3nvvAb6WtGeeeaZG\n/TfddFNEjr8TiURB6e40s2fMbJ+Z7TKzNWbWvsq2R83sj2b2iZkNDUZ84a6uge4aAC/NRWxsLIsX\nL2bhwoWUlZVV2zZw4EByc3MBXyvVrl27AEhLS2Pjxo2cOHGC8vLyQHcjQFZWFs8//3zgceXNCVUV\nFxcTHx9PixYteOmll6ioqKg1try8PI4fP05paSlr167l1ltvrfe1nDp1ivj4eMrKygJxg68lrbCw\nsMaXEjSRyBGsMWl5QC/nnAfYDzwKYGY9gbuBm4FhwH+YWVSQYgxbGgAvTe3adlddVPml6N27N8nJ\nybz66qvVyu+77z5KSkrweDw8/fTTpKWlAXD99dczZ84c0tPTGTJkCD179iQ2NhaAxYsXU1BQgMfj\noWfPnixbtqzG8e6//35WrlxJv3792L9/P23btq01rttuu4177rkHr9fLuHHj6Nu3b72vIzs7m/T0\ndDIzM+nRo8dFvQcDBgxg/PjxbNiwgcTERN56662Ler6IhDarrwvgigRgNga4yzk30cweBXDOPenf\n9hYw3zm3pb46+vbt65pyHqRwFMnLG8ml2bt3L0lJScEO47KUlJTQrl07ysvLGTNmDFOmTGHMmDGN\nVn9OTg4FBQXVWuWam3A4zyKhzsy2O+fq/w+O0BiTNgVY5f/5emBrlW0H/WU1mNn3ge8DfOMb32jK\n+MKSBsBLJJo/fz7r16/n7NmzZGVlMXr06GCHJCJSpyZL0sxsPfC1WjbNdc792r/PXKAcqByIUdua\nJLU29Tnn/hP4T/C1pF12wCIS9hYuXNik9U+ePJnJkyc36TFEJHI0WZLmnBtS33YzmwQMBwa7v/e5\nHgS+XmW3RKDmFO8iIiIiYS5Yd3cOA2YDI51zVafXfgO428xamlkXoCuwLRgxioiIhDqtHhPegjUm\n7XmgJZDnn0Noq3NuunNuj5n9N/Axvm7QB5xztd/nLiIiEsEqV4+pnJy8cvUYQGOOw0RQkjTn3E31\nbPsJ8JMrGI6IiEizo9Vjwp/W7hSRZiMqKgqv10uvXr0YMWIEJ0+eBHzrcta1pmVGRgZNOUVP1cXd\nL2efSzFs2DDat2/P8OHDq5V/9tlnpKen07VrVyZMmMBXXzXewvYSOrR6TPhTkiYiTefUX+C/vgmn\n/too1VUuC7V79246dOjAkiVLAEhISIjImfhnzZrFSy+9VKN89uzZzJw5kwMHDnDNNdcEFm2X8KLV\nY8KfkjQRaTobn4Y/bYWNTzV61f379+fQoUNA9Zaq0tJS7r77bjweDxMmTAiskQmwYsUKunXrRkZG\nBtOmTWPGjBkAHD16lHHjxpGamkpqaiqbN2+ucbyioiIGDBhASkoKKSkpfPjhhzX2ycnJYdSoUQwb\nNozu3buzYMGCwLaKigqmTZvGzTffTFZWViCu5cuXk5qaSnJyMuPGjePMmTM16q3L4MGDqy0CD741\nSt95551Ay+KkSZNYu3Ztg+uU5kOrx4Q/JWki0jRO/QUKc8Gd831vpNY08CU8GzZsYOTIkTW2LV26\nlDZt2rBr1y7mzp3L9u3bAV+XaHZ2Nlu3biUvL499+/YFnvPQQw8xc+ZM8vPzWb16NVOnTq1Rb1xc\nHHl5eezYsYNVq1bVurA7wLZt28jNzaWwsJDXXnst0NV64MABHnjgAfbs2UP79u0Da4eOHTuW/Px8\ndu7cSVJSUqDVKzc3F6/XW+Orrm7dSseOHaN9+/ZER/uGHCcmJgaSWQkvsSNGEJ/9BNEJCWBGdEIC\n8dlPaDxaGAmFFQdEJBxtfNqXoIHv+8anYPizl1VlaWkpXq+XoqIi+vTpQ2ZmZo19Nm3aFEigPB4P\nHo8H8CVPgwYNokOHDgCMHz+e/fv3A7B+/Xo+/vjjQB1ffvklp06dqtZKVVZWxowZMygsLCQqKirw\n3PNlZmbSsWNHwJeAffDBB4wePZouXbrg9XoB6NOnD0VFRYBvEfjHHnuMkydPUlJSwtChQwHfAusT\nJ0686PeotqX+/HfRSxjS6jHhTUmaiDS+yla0Cv+A9YqvfI8HzYarr7vkaivHpBUXFzN8+HCWLFlS\na4tWbUlJfesUnzt3ji1bttC6des691m0aBHXXXcdO3fu5Ny5c7Q6r5uprmNXPm7ZsmWgLCoqKtDd\nOXnyZNauXUtycjI5OTm89957gK8l7ZlnnqlR/0033VTv+Ltrr72WkydPUl5eTnR0NAcPHiQhIaHO\n/UUkdKm7UwI0KaI0mqqtaJUqW9MaQWxsLIsXL2bhwoWUlZVV2zZw4EByc30rze3evZtdu3YBkJaW\nxsaNGzlx4gTl5eWB7kaArKysaouiFxYW1jhmcXEx8fHxtGjRgpdeeomKitqncMzLy+P48eOUlpay\ndu1abr311npfy6lTp4iPj6esrCwQN/ha0goLC2t8XegGCTPj9ttvD+y3cuVKRo0aVe9zRCQ0KUkT\n4O+TIpYfPgzOBSZFVKIml+Tgtr+3olWq+MpX3kh69+5NcnIyr776arXy++67j5KSEjweD08//TRp\naWkAXH/99cyZM4f09HSGDBlCz549iY2NBWDx4sUUFBTg8Xjo2bMny5Ytq3G8+++/n5UrV9KvXz/2\n799P27Zta43rtttu45577sHr9TJu3Dj69u1b7+vIzs4mPT2dzMxMevTocVHvwYABAxg/fjwbNmwg\nMTGRt956C4CnnnqKZ599lptuuoljx47xve9976LqFZHQYPV1ATQXffv2dU05D1IkOHDHYF+Cdp7o\nhAS6vrMhCBFJqNm7dy9JSUnBDuOylJSU0K5dO8rLyxkzZgxTpkxhzJgxjVZ/Tk4OBQUF1Vrlmptw\nOM8ioc7Mtjvn6v8PDrWkiZ8mRZRIMH/+/MBkuF26dGH06NHBDklEpE66cUAA3+SHtbakaVJECSML\nFy5s0vonT57M5MmTm/QYIhI51JImgCZFFBERCTVqSROAwDw7Xyx6jvIjR4iOjydu5sOaf0dERCRI\nlKRJgCZFFBERCR3q7hQREREJQUrSRKTZiIqKCtydOWLECE6ePAn41uWsa03LjIwMmnKKnqqLu1/O\nPpdi5cqVdO3ala5du7Jy5cpa93nttde4+eabadGiRZO+DyLS+NTdKSKN7q437uKTE5/UKO9++eTQ\nIwAAFCRJREFUTXdeH1n/jPn1qVwWCmDSpEksWbKEuXPnkpCQcMGZ+MPN8ePHWbBgAQUFBZgZffr0\nYeTIkVxzzTXV9uvVqxe/+tWvuPfee4MUqYhcKrWkiUijS45LJqZFTLWymBYxeOO8jXaM/v37c+jQ\nIaB6S1VpaSl33303Ho+HCRMmBNbIBFixYgXdunUjIyODadOmMWPGDACOHj3KuHHjSE1NJTU1lc2b\nN9c4XlFREQMGDCAlJYWUlBQ+/PDDGvvk5OQwatQohg0bRvfu3VmwYEFgW0VFBdOmTePmm28mKysr\nENfy5ctJTU0lOTmZcePGcebMmQa9/rfeeovMzEw6dOjANddcQ2ZmJm+++WaN/ZKSkujevXuD6hSR\n0KIkTUQa3XTPdFpY9Y+XFtaC6cnTG6X+iooKNmzYwMiRI2tsW7p0KW3atGHXrl3MnTuX7du3A74u\n0ezsbLZu3UpeXh779u0LPOehhx5i5syZ5Ofns3r1aqZOnVqj3ri4OPLy8tixYwerVq2qdWF3gG3b\ntpGbm0thYSGvvfZaoIvxwIEDPPDAA+zZs4f27dsH1g4dO3Ys+fn57Ny5k6SkJFasWAH4Flj3er01\nviq7dQ8dOsTXv/71wHETExMDSauIhAd1d4pIo+vUphOjbhrFmgNrKDtXRkyLGEbfNJprW197WfWW\nlpbi9XopKiqiT58+ZGZm1thn06ZNgQTK4/Hg8XgAX/I0aNAgOnToAMD48ePZv38/AOvXr+fjjz8O\n1PHll19y6tQprr766kBZWVkZM2bMoLCwkKioqMBzz5eZmUnHjh0BXwL2wQcfMHr0aLp06YLX62tJ\n7NOnD0VFRYBvEfjHHnuMkydPUlJSwtChQwHfAusTJ06s872obUk/M6tzfxFpftSSJiJNomprWmO1\nolWOSfv888/56quvWLJkSa371Zas1LdO8blz59iyZQuFhYUUFhZy6NChagkawKJFi7juuuvYuXMn\nBQUFfPXVV7XWdf6xKx+3bNkyUBYVFUV5eTngW6Xg+eef5w9/+AM/+tGPOHv2LHDhlrTExET+/Oc/\nB+o8ePAgCQkJdb5GEWl+lKSJSJOobE0zrFFa0aqKjY1l8eLFLFy4kLKysmrbBg4cSG5uLuBrpdq1\naxcAaWlpbNy4kRMnTlBeXh7obgTIysqqtih65c0JVRUXFxMfH0+LFi146aWXqKioqDW2vLw8jh8/\nTmlpKWvXruXWW2+t97WcOnWK+Ph4ysrKAnGDryWtMmms+lV5g8TQoUN5++23OXHiBCdOnODtt98O\ntMKJSHhQkiYiTWa6Zzop16U02li0qnr37k1ycjKvvvpqtfL77ruPkpISPB4PTz/9NGlpaQBcf/31\nzJkzh/T0dIYMGULPnj2JjY0FYPHixRQUFODxeOjZsyfLli2rcbz777+flStX0q9fP/bv30/btm1r\njeu2227jnnvuwev1Mm7cOPr27Vvv68jOziY9PZ3MzEx69OjR4NffoUMHHn/88cDNDvPmzQt05U6d\nOjUwFm7NmjUkJiayZcsW7rzzTiVyIs2I1dcF0Fz07dvXaf4fkaa1d+9ekpKSgh3GZSkpKaFdu3aU\nl5czZswYpkyZwpgxYxqt/pycHAoKCqq1yjU34XCeRUKdmW13ztX/HxxqSRORCDJ//vzAZLhdunRh\n9OjRwQ5JhOJ16zhwx2D2JvXkwB2DKV63LtghSYhQS5qINIhaWCKDzvOVVbxuHUcen4fz3zACYK1a\nEZ/9hNZSDmNqSRMREQlxXyx6rlqCBuDOnuWLRc8FKSIJJUrSREREgqT8yJGLKpfIoiRNREQkSKLj\n4y+qXCKLkjQREZEgiZv5MNaqVbUya9WKuJkPBykiCSVK0kSk2WjXrl2NsmXLlvHiiy82+bE7d+7M\nLbfcgsfjYdCgQXz++edNfsyLMXXq1GpLW0nzEDtiBPHZTxCdkABmRCck6KYBCdDdnSLSIBd711/x\nunV8seg5yo8cITo+nriZD1/2H5527dpRUlJyWXVcLOcczjluvPFGCgoKuPbaa/nRj37E4cOHWb58\n+WXXX15eTnR06CyjrLs7RZqe7u4UkaCpnFag/PBhcI7yw4c58vi8Jpn/af78+SxcuBCAjIwMZs+e\nTVpaGt26deP9998HoKKiglmzZpGamorH4+GFF14AfJPbDh48mJSUFG655RZ+/etfA1BUVERSUhL3\n338/KSkp1dbIBOjfvz+HDh0KPH755ZdJS0vD6/Vy7733BpaMWrFiBd26dSMjI4Np06YxY8YMwLde\n5yOPPMLtt9/O7NmzOX36NFOmTCE1NZXevXsH4tizZ0+gXo/Hw4EDBzh9+jR33nknycnJ9OrVi1Wr\nVgVee+U/q6+88gq33HILvXr1Yvbs2YE427Vrx9y5c0lOTqZfv3789a9/bdyTcQVoTjGJJErSRKTR\nBXNagfLycrZt28Zzzz3HggULAF+yFBsbS35+Pvn5+SxfvpzPPvuMVq1asWbNGnbs2MG7777LD37w\ng8BC7J988gnf/e53+eijj7jhhhuqHePNN98MTIS7d+9eVq1axebNmyksLCQqKorc3FwOHz5MdnY2\nW7duJS8vj3379lWrY//+/axfv55/+7d/4yc/+Ql33HEH+fn5vPvuu8yaNYvTp0+zbNkyHnroIQoL\nCykoKCAxMZE333yThIQEdu7cye7duxk2bFi1eg8fPszs2bN55513KCwsJD8/n7Vr1wJw+vRp+vXr\nx86dOxk4cGCjtAReSVcy+RcJBUrSRKTRBXNagbFjxwLQp08fioqKAHj77bd58cUX8Xq9pKenc+zY\nMQ4cOIBzjjlz5uDxeBgyZAiHDh0KtC7dcMMN9OvXr1rdt99+O3Fxcaxfv55/+qd/AmDDhg1s376d\n1NRUvF4vGzZs4NNPP2Xbtm0MGjSIDh06EBMTw/jx46vVNX78eKKiogLx/exnP8Pr9ZKRkcHZs2f5\n05/+RP/+/fnpT3/KU089xeeff07r1q255ZZbWL9+PbNnz+b9998PrD9aKT8/n4yMDDp16kR0dDQT\nJ05k06ZNAFx11VUMHz68xvvTXGhOMYk0oTMQQkTCRnR8vK+1o5byptayZUsAoqKiKC8vB3zjyn7+\n85/XWFw8JyeHo0ePsn37dmJiYujcuTNn/UlAbQuov/vuu7Rt25bJkyczb948nn32WZxzTJo0iSef\nfLLavmvWrKk3zqr1O+dYvXo13bt3r7ZPUlIS6enp/Pa3v2Xo0KH84he/4I477mD79u387ne/49FH\nHyUrK4t58+ZVq6suMTExmFmN96e50JxiEmnUkiYijS7UphUYOnQoS5cupaysDPB1NZ4+fZri4mLi\n4uKIiYnh3XffbdAdm61bt+a5557jxRdf5Pjx4wwePJjXX3+dL774AoDjx4/z+eefk5aWxsaNGzlx\n4gTl5eWsXr263vh+/vOfBxKsjz76CIBPP/2UG2+8kQcffJCRI0eya9cuDh8+TJs2bfjOd77DD3/4\nQ3bs2FGtrvT0dDZu3Mjf/vY3KioqeOWVVxg0aNAlvW+hRnOKSaRRS5qINLrKuzgb++7OM2fOkJiY\nGHj8yCOPNOh5U6dOpaioiJSUFJxzdOrUibVr1zJx4kRGjBhB37598Xq99OjRo0H1xcfH8+1vf5sl\nS5bw+OOP8+Mf/5isrCzOnTtHTEwMS5YsoV+/fsyZM4f09HQSEhLo2bNnja7JSo8//jgPP/wwHo8H\n5xydO3fmN7/5DatWreLll18mJiaGr33ta8ybN4/8/HxmzZpFixYtiImJYenSpTVie/LJJ7n99ttx\nzvGtb32LUaNGNeh1hbq4mQ/Xus6l5hSTcKUpOESkQTQ1w8UrKSmhXbt2lJeXM2bMGKZMmcKYMWOC\nHVa9Qv08N8XULiJXWkOn4FBLmohIE5k/fz7r16/n7NmzZGVlBe4IlUsXO2KEkjKJGErSRESaSOX8\nbSIil0I3DoiIiIiEICVpItJg4TCGVeqm8ysSWpSkiUiDtGrVimPHjukPeZhyznHs2DFanTd1iogE\nj8akiUiDJCYmcvDgQY4ePRrsUKSJtGrVqtoUJyISXErSRKRBYmJi6NKlS7DDEBGJGOruFBEREQlB\nStJEREREQpCSNBEREZEQFBbLQpnZUeDCKyNfvmuBv12B40jddA5Cg85D8OkchAadh+BrjufgBudc\npwvtFBZJ2pViZgUNWWtLmo7OQWjQeQg+nYPQoPMQfOF8DtTdKSIiIhKClKSJiIiIhCAlaRfnP4Md\ngOgchAidh+DTOQgNOg/BF7bnQGPSREREREKQWtJEREREQpCStAYws2Fm9omZ/dHM/jXY8UQKM/u6\nmb1rZnvNbI+ZPeQv72BmeWZ2wP/9mmDHGu7MLMrMPjKz3/gfdzGz3/vPwSozuyrYMYY7M2tvZq+b\n2T7/NdFf18KVZWYz/Z9Fu83sFTNrpWuh6ZnZL83sCzPbXaWs1t9981ns/3u9y8xSghf55VOSdgFm\nFgUsAb4J9AS+bWY9gxtVxCgHfuCcSwL6AQ/43/t/BTY457oCG/yPpWk9BOyt8vgpYJH/HJwAvheU\nqCLLvwNvOud6AMn4zoeuhSvEzK4HHgT6Oud6AVHA3ehauBJygGHnldX1u/9NoKv/6/vA0isUY5NQ\nknZhacAfnXOfOue+Al4FRgU5pojgnDvinNvh//kUvj9K1+N7/1f6d1sJjA5OhJHBzBKBO4Ff+B8b\ncAfwun8XnYMmZmb/AAwEVgA4575yzp1E18KVFg20NrNooA1wBF0LTc45twk4fl5xXb/7o4AXnc9W\noL2ZxV+ZSBufkrQLux74c5XHB/1lcgWZWWegN/B74Drn3BHwJXJAXPAiiwjPAf8CnPM/7gicdM6V\n+x/rmmh6NwJHgf/ydzv/wszaomvhinHOHQIWAn/Cl5wVA9vRtRAsdf3uh9XfbCVpF2a1lOmW2CvI\nzNoBq4GHnXNfBjueSGJmw4EvnHPbqxbXsquuiaYVDaQAS51zvYHTqGvzivKPeRoFdAESgLb4utbO\np2shuMLq80lJ2oUdBL5e5XEicDhIsUQcM4vBl6DlOud+5S/+a2Xztf/7F8GKLwLcCow0syJ8Xf13\n4GtZa+/v8gFdE1fCQeCgc+73/sev40vadC1cOUOAz5xzR51zZcCvgP+DroVgqet3P6z+ZitJu7B8\noKv/Dp6r8A0UfSPIMUUE/9inFcBe59yzVTa9AUzy/zwJ+PWVji1SOOcedc4lOuc64/vdf8c5NxF4\nF7jLv5vOQRNzzv0F+LOZdfcXDQY+RtfClfQnoJ+ZtfF/NlWeA10LwVHX7/4bwHf9d3n2A4oru0Wb\nI01m2wBm9i18rQdRwC+dcz8JckgRwcxuA94H/sDfx0PNwTcu7b+Bb+D74BzvnDt/UKk0MjPLAH7o\nnBtuZjfia1nrAHwEfMc597/BjC/cmZkX380bVwGfAv+M7x9tXQtXiJktACbgu/P8I2AqvvFOuhaa\nkJm9AmQA1wJ/BX4ErKWW331/Av08vrtBzwD/7JwrCEbcjUFJmoiIiEgIUneniIiISAhSkiYiIiIS\ngpSkiYiIiIQgJWkiIiIiIUhJmoiIiEgIUpImIkFhZl8zs1fN7H/M7GMz+52ZdbvEuh40s71mlmtm\nLc1svZkVmtkE/xJKPet57kgzu6TZ+82svZndX8/2Dy+yvgwz+82lxCIi4UdTcIjIFeefy+hDYKVz\nbpm/zAtc7Zx7/xLq2wd80zn3mX8Cy6ecc4MaNejaj9sZ+I1zrlcj1ZeBfy66xqhPRJo3taSJSDDc\nDpRVJmgAzrlC59z7/pnCnzGz3Wb2BzObULmPmc0ys3wz2+WfWBQzW4ZvAfI3zGw28DLg9bek/aOZ\nvWdmff37DjOzHWa208w2+Msmm9nz/p87mdlq/zHyzexWf/l8M/ulv65PzexBf0g/A/7Rf6xnzn+R\nZlbi/57hf+7rZrbP3+JnVWLaZ2YfAGOrPLet/5j5/kXVR/nLHzGzX/p/vsX/PrVpjJMiIqEl+sK7\niIg0ul7A9jq2jQW8QDK+GcbzzWwTcAvQFUjDt4jyG2Y20Dk33cyGAbc75/5mZr+nSmuUPxfCzDoB\ny4GB/ha3DrUc+9+BRc65D8zsG8BbQJJ/Ww98yeXVwCdmthTfIue9nHPeBrzm3sDN+NYR3AzcamYF\n/pjuAP4IrKqy/1x8y3BNMbP2wDYzW49v9ZP3zGyMf597nXNnGnB8EWlmlKSJSKi5DXjFOVeBbxHl\njUAqMBDIwrf0DkA7fEnbpgbW2w/Y5Jz7DKCO5ZOGAD0rEzvgH8zsav/Pv/Uv9/O/ZvYFcN3FvSy2\nOecOAphZIdAZKMG3aPcBf/nLwPf9+2fhW9z+h/7HrYBvOOf2mtlkYBfwgnNu80XGISLNhJI0EQmG\nPfx9UerzWT3lTzrnXrjEYxpwoUG4LYD+zrnSak/0JW1V12Os4OI/P+t6fl0xGTDOOfdJLdu64kvw\nEi4yBhFpRjQmTUSC4R2gpZlNqywws1QzG4SvZWyCmUX5uygHAtvwdT1OMbN2/v2vN7O4izjmFmCQ\nmXXxP7+27s63gRlVYrpQN+YpfN2fl2of0MXM/tH/+NtVtr0F/N8qY9d6+7/H4uuWHQh0NLO6kl0R\naeaUpInIFed8t5WPATL9U3DsAebjG6+1Bl9X3k58ydy/OOf+4px7G/h/wBYz+wPwOheRIDnnjuLr\nSvyVme2k+vivSg8Cff03JnwMTL9AnceAzf7B+zVuHGhATGf9Mf3Wf+PA51U2ZwMxwC4z2+1/DLAI\n+A/n3H7ge8DPLjJZFZFmQlNwiIiIiIQgtaSJiIiIhCAlaSIiIiIhSEmaiIiISAhSkiYiIiISgpSk\niYiIiIQgJWkiIiIiIUhJmoiIiEgIUpImIiIiEoL+P9nhBY5F0oThAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112010f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "plt.plot(ridge.coef_, 's', label=\"Ridge alpha=1\")\n",
    "plt.plot(ridge10.coef_, '^', label=\"Ridge alpha=10\")\n",
    "plt.plot(ridge01.coef_, 'v', label=\"Ridge alpha=0.1\")\n",
    "plt.plot(lr.coef_, 'o', label=\"LinearRegression\")\n",
    "\n",
    "plt.xlabel(\"Coefficient index\")\n",
    "plt.ylabel(\"Coefficient magnitude\")\n",
    "plt.hlines(0, 0, len(lr.coef_))\n",
    "plt.ylim(-25, 25)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ut0sWi0WaOXOmsS+GMyKiVmxBIyJyImxBIyKAY9CIiIiInA4DGhEREZGTYUAjIiIicjIM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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111b63470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "mg.plots.plot_ridge_n_samples()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lasso"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alpha=1\n",
      "Training set score: 0.29\n",
      "Test set score: 0.21\n",
      "Number of features used: 4\n",
      "\n",
      "alpha=0.01\n",
      "Training set score: 0.90\n",
      "Test set score: 0.77\n",
      "Number of features used: 4\n",
      "\n",
      "alpha=0.0001\n",
      "Training set score: 0.95\n",
      "Test set score: 0.64\n",
      "Number of features used: 4\n"
     ]
    }
   ],
   "source": [
    "lasso = Lasso().fit(X_train, y_train)\n",
    "score_training = lasso.score(X_train, y_train)\n",
    "score_test = lasso.score(X_test, y_test)\n",
    "\n",
    "print(\"alpha=1\")\n",
    "print(\"Training set score: {:.2f}\".format(score_training))\n",
    "print(\"Test set score: {:.2f}\".format(score_test))\n",
    "print(\"Number of features used: {}\".format(np.sum(lasso.coef_ != 0)))\n",
    "\n",
    "lasso001 = Lasso(alpha=0.01, max_iter=100000).fit(X_train, y_train)\n",
    "score_training = lasso001.score(X_train, y_train)\n",
    "score_test = lasso001.score(X_test, y_test)\n",
    "\n",
    "print(\"\\nalpha=0.01\")\n",
    "print(\"Training set score: {:.2f}\".format(score_training))\n",
    "print(\"Test set score: {:.2f}\".format(score_test))\n",
    "print(\"Number of features used: {}\".format(np.sum(lasso.coef_ != 0)))\n",
    "\n",
    "lasso00001 = Lasso(alpha=0.0001, max_iter=100000).fit(X_train, y_train)\n",
    "score_training = lasso00001.score(X_train, y_train)\n",
    "score_test = lasso00001.score(X_test, y_test)\n",
    "\n",
    "print(\"\\nalpha=0.0001\")\n",
    "print(\"Training set score: {:.2f}\".format(score_training))\n",
    "print(\"Test set score: {:.2f}\".format(score_test))\n",
    "print(\"Number of features used: {}\".format(np.sum(lasso.coef_ != 0)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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D165de3D37t173n333ZHuLsbDhw/H3XnnnQ1ff/31noSEhI5XX311BADccMMNp3bv3l21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\ngLR9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1120512e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "plt.plot(lasso.coef_, 's', label=\"Lasso alpha=1\")\n",
    "plt.plot(lasso001.coef_, '^', label=\"Lasso alpha=0.01\")\n",
    "plt.plot(lasso00001.coef_, 'v', label=\"Lasso alpha=0.0001\")\n",
    "plt.plot(ridge01.coef_, 'o', label=\"Ridge alpha=0.1\")\n",
    "\n",
    "plt.xlabel(\"Coefficient index\")\n",
    "plt.ylabel(\"Coefficient magnitude\")\n",
    "plt.hlines(0, 0, len(lr.coef_))\n",
    "plt.ylim(-25, 25)\n",
    "plt.legend(ncol=2, loc=(0, 1.05))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LogisticRegression & LinearSVC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BHATwRwDvw9h7I4tbu249cmuvDBk2AJB7+hTkTr0CD37/oSS3jCh5mGH2xQwj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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1124d6e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = mg.datasets.make_forge()\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10,3))\n",
    "\n",
    "for model, ax in zip([LinearSVC(), LogisticRegression()], axes):\n",
    "    clf = model.fit(X, y)\n",
    "    mg.plots.plot_2d_separator(clf, X, fill=False, eps=0.5, ax=ax, alpha=.7)\n",
    "    mg.discrete_scatter(X[:,0], X[:,1], y, ax=ax)\n",
    "    ax.set_title(\"{}\".format(clf.__class__.__name__))\n",
    "    ax.set_xlabel(\"Feature 0\")\n",
    "    ax.set_ylabel(\"Feature 1\")\n",
    "    \n",
    "axes[0].legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CzKw15JZXpz4zW9/VmlIcPebn5+PvY0fig607LD5CccTRj7Oy5gpfSznrmR4pyCWvgPWZ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112068d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mg.plots.plot_linear_svc_regularization()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "C=1\n",
      "Training set score: 0.95\n",
      "Test set score: 0.96\n",
      "\n",
      "C=100\n",
      "Training set score: 0.97\n",
      "Test set score: 0.97\n",
      "\n",
      "C=100\n",
      "Training set score: 0.93\n",
      "Test set score: 0.93\n"
     ]
    }
   ],
   "source": [
    "cancer = load_breast_cancer()\n",
    "X_train, X_test, y_train, y_test = train_test_split(cancer.data, cancer.target, stratify=cancer.target, random_state=42)\n",
    "\n",
    "logreg = LogisticRegression().fit(X_train, y_train)\n",
    "score_training = logreg.score(X_train, y_train)\n",
    "score_test = logreg.score(X_test, y_test)\n",
    "\n",
    "print(\"C=1\")\n",
    "print(\"Training set score: {:.2f}\".format(score_training))\n",
    "print(\"Test set score: {:.2f}\".format(score_test))\n",
    "\n",
    "logreg100 = LogisticRegression(C=100).fit(X_train, y_train)\n",
    "score_training = logreg100.score(X_train, y_train)\n",
    "score_test = logreg100.score(X_test, y_test)\n",
    "\n",
    "print(\"\\nC=100\")\n",
    "print(\"Training set score: {:.2f}\".format(score_training))\n",
    "print(\"Test set score: {:.2f}\".format(score_test))\n",
    "\n",
    "logreg001 = LogisticRegression(C=0.01).fit(X_train, y_train)\n",
    "score_training = logreg001.score(X_train, y_train)\n",
    "score_test = logreg001.score(X_test, y_test)\n",
    "\n",
    "print(\"\\nC=100\")\n",
    "print(\"Training set score: {:.2f}\".format(score_training))\n",
    "print(\"Test set score: {:.2f}\".format(score_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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J10t6wt2vClWHJNVfvlBrNrR0WD5sSH8tu3BGgIoAAEC1CNkzdpCkj0o63MxWxLdjQhRS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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112055630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "plt.plot(logreg.coef_.T, 's', label=\"C=1\")\n",
    "plt.plot(logreg100.coef_.T, '^', label=\"C=100\")\n",
    "plt.plot(logreg001.coef_.T, 'v', label=\"C=0.001\")\n",
    "\n",
    "plt.xlabel(\"Coefficient index\")\n",
    "plt.ylabel(\"Coefficient magnitude\")\n",
    "plt.xticks(range(cancer.data.shape[1]), cancer.feature_names, rotation=90)\n",
    "plt.hlines(0, 0, cancer.data.shape[1])\n",
    "plt.ylim(-5, 5)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training accuracy of L1 logreg with C=0.001: 0.91\n",
      "Test accuracy of L1 logreg with C=0.001: 0.92\n",
      "Training accuracy of L1 logreg with C=1.000: 0.96\n",
      "Test accuracy of L1 logreg with C=1.000: 0.96\n",
      "Training accuracy of L1 logreg with C=100.000: 0.99\n",
      "Test accuracy of L1 logreg with C=100.000: 0.98\n"
     ]
    },
    {
     "data": {
      "image/png": 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fAPDJJ5/QuXPn+jbPMJo/BfQpNnValkKIjg5SpEYJ9aS+6a9DGTZsGJMmTeKL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\nyAYhIyMjIyPhfwAvMSseyF91FgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1151e3f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for C, marker in zip([0.001, 1, 100], ['o', '^', 'v']):\n",
    "    lr_l1 = LogisticRegression(C=C, penalty=\"l1\").fit(X_train, y_train)\n",
    "    score_training = lr_l1.score(X_train, y_train)\n",
    "    score_test = lr_l1.score(X_test, y_test)\n",
    "    \n",
    "    print(\"Training accuracy of L1 logreg with C={:.3f}: {:.2f}\".format(C, score_training))\n",
    "    print(\"Test accuracy of L1 logreg with C={:.3f}: {:.2f}\".format(C, score_test))\n",
    "    plt.plot(lr_l1.coef_.T, marker, label=\"C={:.3f}\".format(C))\n",
    "    \n",
    "plt.xticks(range(cancer.data.shape[1]), cancer.feature_names, rotation=90)\n",
    "plt.hlines(0, 0, cancer.data.shape[1])\n",
    "plt.xlabel(\"Coefficient index\")\n",
    "plt.ylabel(\"Coefficient magnitude\")\n",
    "plt.ylim(-5, 5)\n",
    "plt.legend(loc=3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  },
  "widgets": {
   "state": {},
   "version": "1.1.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
